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Finding the Fourth Proportional to 31,001.60, 42,781.74 and 16,854.32

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Solution

The fourth proportional to 31,001.60, 42,781.74 and 16,854.32 is: 23,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.60 : 42,781.74 = 16,854.32 : x
  2. Step 2: Convert to fraction form
    31,001.60/42,781.74 = 16,854.32/x
  3. Step 3: Cross multiply
    31,001.60x = 42,781.74 × 16,854.32
  4. Step 4: Simplify right side
    31,001.60x = 721,057,136.12
  5. Step 5: Solve for x
    x = 721,057,136.12/31,001.60
  6. Step 6: Final answer
    x = 23,258.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.