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Finding the Fourth Proportional to 31,854.47, 47,763.41 and 13,147.38

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Solution

The fourth proportional to 31,854.47, 47,763.41 and 13,147.38 is: 19,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.47 : 47,763.41 = 13,147.38 : x
  2. Step 2: Convert to fraction form
    31,854.47/47,763.41 = 13,147.38/x
  3. Step 3: Cross multiply
    31,854.47x = 47,763.41 × 13,147.38
  4. Step 4: Simplify right side
    31,854.47x = 627,963,635.63
  5. Step 5: Solve for x
    x = 627,963,635.63/31,854.47
  6. Step 6: Final answer
    x = 19,713.52

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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.