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Finding the Fourth Proportional to 31,908.38, 47,830.86 and 15,248.97

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Solution

The fourth proportional to 31,908.38, 47,830.86 and 15,248.97 is: 22,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.38 : 47,830.86 = 15,248.97 : x
  2. Step 2: Convert to fraction form
    31,908.38/47,830.86 = 15,248.97/x
  3. Step 3: Cross multiply
    31,908.38x = 47,830.86 × 15,248.97
  4. Step 4: Simplify right side
    31,908.38x = 729,371,349.21
  5. Step 5: Solve for x
    x = 729,371,349.21/31,908.38
  6. Step 6: Final answer
    x = 22,858.30

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