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Finding the Fourth Proportional to 31,375.72, 47,062.14 and 10,599.40

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Solution

The fourth proportional to 31,375.72, 47,062.14 and 10,599.40 is: 15,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.72 : 47,062.14 = 10,599.40 : x
  2. Step 2: Convert to fraction form
    31,375.72/47,062.14 = 10,599.40/x
  3. Step 3: Cross multiply
    31,375.72x = 47,062.14 × 10,599.40
  4. Step 4: Simplify right side
    31,375.72x = 498,830,446.72
  5. Step 5: Solve for x
    x = 498,830,446.72/31,375.72
  6. Step 6: Final answer
    x = 15,898.61

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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.