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Finding the Fourth Proportional to 41,415, 57,149.10 and 23,510.76

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Solution

The fourth proportional to 41,415, 57,149.10 and 23,510.76 is: 32,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415 : 57,149.10 = 23,510.76 : x
  2. Step 2: Convert to fraction form
    41,415/57,149.10 = 23,510.76/x
  3. Step 3: Cross multiply
    41,415x = 57,149.10 × 23,510.76
  4. Step 4: Simplify right side
    41,415x = 1,343,618,774.32
  5. Step 5: Solve for x
    x = 1,343,618,774.32/41,415
  6. Step 6: Final answer
    x = 32,442.81

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Half scale
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Double scale
Find fourth proportional to 41,416, 57,150.48 and 23,511.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.