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Finding the Fourth Proportional to 78,491.43, 117,704.34 and 31,711.50

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Solution

The fourth proportional to 78,491.43, 117,704.34 and 31,711.50 is: 47,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.43 : 117,704.34 = 31,711.50 : x
  2. Step 2: Convert to fraction form
    78,491.43/117,704.34 = 31,711.50/x
  3. Step 3: Cross multiply
    78,491.43x = 117,704.34 × 31,711.50
  4. Step 4: Simplify right side
    78,491.43x = 3,732,581,177.91
  5. Step 5: Solve for x
    x = 3,732,581,177.91/78,491.43
  6. Step 6: Final answer
    x = 47,554.00

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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.