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Finding the Fourth Proportional to 31,539.70, 47,310.63 and 10,760.50

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Solution

The fourth proportional to 31,539.70, 47,310.63 and 10,760.50 is: 16,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539.70 : 47,310.63 = 10,760.50 : x
  2. Step 2: Convert to fraction form
    31,539.70/47,310.63 = 10,760.50/x
  3. Step 3: Cross multiply
    31,539.70x = 47,310.63 × 10,760.50
  4. Step 4: Simplify right side
    31,539.70x = 509,086,034.12
  5. Step 5: Solve for x
    x = 509,086,034.12/31,539.70
  6. Step 6: Final answer
    x = 16,141.12

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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.