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Finding the Fourth Proportional to 31,645.29, 47,491.30 and 15,005.38

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Solution

The fourth proportional to 31,645.29, 47,491.30 and 15,005.38 is: 22,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.29 : 47,491.30 = 15,005.38 : x
  2. Step 2: Convert to fraction form
    31,645.29/47,491.30 = 15,005.38/x
  3. Step 3: Cross multiply
    31,645.29x = 47,491.30 × 15,005.38
  4. Step 4: Simplify right side
    31,645.29x = 712,625,185.61
  5. Step 5: Solve for x
    x = 712,625,185.61/31,645.29
  6. Step 6: Final answer
    x = 22,519.15

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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.