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Finding the Fourth Proportional to 31,778.59, 43,854.01 and 17,631.49

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Solution

The fourth proportional to 31,778.59, 43,854.01 and 17,631.49 is: 24,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.59 : 43,854.01 = 17,631.49 : x
  2. Step 2: Convert to fraction form
    31,778.59/43,854.01 = 17,631.49/x
  3. Step 3: Cross multiply
    31,778.59x = 43,854.01 × 17,631.49
  4. Step 4: Simplify right side
    31,778.59x = 773,211,538.77
  5. Step 5: Solve for x
    x = 773,211,538.77/31,778.59
  6. Step 6: Final answer
    x = 24,331.21

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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.