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Finding the Fourth Proportional to 62,474, 93,723.96 and 25,538

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Solution

The fourth proportional to 62,474, 93,723.96 and 25,538 is: 38,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,474 : 93,723.96 = 25,538 : x
  2. Step 2: Convert to fraction form
    62,474/93,723.96 = 25,538/x
  3. Step 3: Cross multiply
    62,474x = 93,723.96 × 25,538
  4. Step 4: Simplify right side
    62,474x = 2,393,522,490.48
  5. Step 5: Solve for x
    x = 2,393,522,490.48/62,474
  6. Step 6: Final answer
    x = 38,312.30

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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.