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Finding the Fourth Proportional to 57,711.78, 86,583.60 and 24,414.30

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Solution

The fourth proportional to 57,711.78, 86,583.60 and 24,414.30 is: 36,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,711.78 : 86,583.60 = 24,414.30 : x
  2. Step 2: Convert to fraction form
    57,711.78/86,583.60 = 24,414.30/x
  3. Step 3: Cross multiply
    57,711.78x = 86,583.60 × 24,414.30
  4. Step 4: Simplify right side
    57,711.78x = 2,113,877,985.48
  5. Step 5: Solve for x
    x = 2,113,877,985.48/57,711.78
  6. Step 6: Final answer
    x = 36,628.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.