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Finding the Fourth Proportional to 31,602.17, 43,609.85 and 17,454.71

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Solution

The fourth proportional to 31,602.17, 43,609.85 and 17,454.71 is: 24,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.17 : 43,609.85 = 17,454.71 : x
  2. Step 2: Convert to fraction form
    31,602.17/43,609.85 = 17,454.71/x
  3. Step 3: Cross multiply
    31,602.17x = 43,609.85 × 17,454.71
  4. Step 4: Simplify right side
    31,602.17x = 761,197,284.89
  5. Step 5: Solve for x
    x = 761,197,284.89/31,602.17
  6. Step 6: Final answer
    x = 24,086.87

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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.