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Finding the Fourth Proportional to 31,641.56, 43,665.90 and 17,494.46

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Solution

The fourth proportional to 31,641.56, 43,665.90 and 17,494.46 is: 24,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.56 : 43,665.90 = 17,494.46 : x
  2. Step 2: Convert to fraction form
    31,641.56/43,665.90 = 17,494.46/x
  3. Step 3: Cross multiply
    31,641.56x = 43,665.90 × 17,494.46
  4. Step 4: Simplify right side
    31,641.56x = 763,911,340.91
  5. Step 5: Solve for x
    x = 763,911,340.91/31,641.56
  6. Step 6: Final answer
    x = 24,142.66

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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.