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Finding the Fourth Proportional to 41,673.76, 57,511 and 22,812.10

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Solution

The fourth proportional to 41,673.76, 57,511 and 22,812.10 is: 31,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,673.76 : 57,511 = 22,812.10 : x
  2. Step 2: Convert to fraction form
    41,673.76/57,511 = 22,812.10/x
  3. Step 3: Cross multiply
    41,673.76x = 57,511 × 22,812.10
  4. Step 4: Simplify right side
    41,673.76x = 1,311,946,683.10
  5. Step 5: Solve for x
    x = 1,311,946,683.10/41,673.76
  6. Step 6: Final answer
    x = 31,481.36

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Half scale
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Double scale
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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.