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Finding the Fourth Proportional to 31,850.66, 47,781.17 and 11,860.23

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Solution

The fourth proportional to 31,850.66, 47,781.17 and 11,860.23 is: 17,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.66 : 47,781.17 = 11,860.23 : x
  2. Step 2: Convert to fraction form
    31,850.66/47,781.17 = 11,860.23/x
  3. Step 3: Cross multiply
    31,850.66x = 47,781.17 × 11,860.23
  4. Step 4: Simplify right side
    31,850.66x = 566,695,628.17
  5. Step 5: Solve for x
    x = 566,695,628.17/31,850.66
  6. Step 6: Final answer
    x = 17,792.27

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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.