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Finding the Fourth Proportional to 57,708.50, 86,497.12 and 24,407.78

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Solution

The fourth proportional to 57,708.50, 86,497.12 and 24,407.78 is: 36,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708.50 : 86,497.12 = 24,407.78 : x
  2. Step 2: Convert to fraction form
    57,708.50/86,497.12 = 24,407.78/x
  3. Step 3: Cross multiply
    57,708.50x = 86,497.12 × 24,407.78
  4. Step 4: Simplify right side
    57,708.50x = 2,111,202,675.59
  5. Step 5: Solve for x
    x = 2,111,202,675.59/57,708.50
  6. Step 6: Final answer
    x = 36,583.91

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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.