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Finding the Fourth Proportional to 41,416, 57,150.48 and 23,511.76

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Solution

The fourth proportional to 41,416, 57,150.48 and 23,511.76 is: 32,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416 : 57,150.48 = 23,511.76 : x
  2. Step 2: Convert to fraction form
    41,416/57,150.48 = 23,511.76/x
  3. Step 3: Cross multiply
    41,416x = 57,150.48 × 23,511.76
  4. Step 4: Simplify right side
    41,416x = 1,343,708,369.64
  5. Step 5: Solve for x
    x = 1,343,708,369.64/41,416
  6. Step 6: Final answer
    x = 32,444.19

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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.