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Finding the Fourth Proportional to 31,147.61, 46,709.13 and 13,605.17

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Solution

The fourth proportional to 31,147.61, 46,709.13 and 13,605.17 is: 20,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.61 : 46,709.13 = 13,605.17 : x
  2. Step 2: Convert to fraction form
    31,147.61/46,709.13 = 13,605.17/x
  3. Step 3: Cross multiply
    31,147.61x = 46,709.13 × 13,605.17
  4. Step 4: Simplify right side
    31,147.61x = 635,485,654.20
  5. Step 5: Solve for x
    x = 635,485,654.20/31,147.61
  6. Step 6: Final answer
    x = 20,402.39

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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.