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Finding the Fourth Proportional to 31,609.59, 47,414.05 and 18,274.10

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Solution

The fourth proportional to 31,609.59, 47,414.05 and 18,274.10 is: 27,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.59 : 47,414.05 = 18,274.10 : x
  2. Step 2: Convert to fraction form
    31,609.59/47,414.05 = 18,274.10/x
  3. Step 3: Cross multiply
    31,609.59x = 47,414.05 × 18,274.10
  4. Step 4: Simplify right side
    31,609.59x = 866,448,999.73
  5. Step 5: Solve for x
    x = 866,448,999.73/31,609.59
  6. Step 6: Final answer
    x = 27,410.95

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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.