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Finding the Fourth Proportional to 31,753.62, 47,626.38 and 10,690.38

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Solution

The fourth proportional to 31,753.62, 47,626.38 and 10,690.38 is: 16,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.62 : 47,626.38 = 10,690.38 : x
  2. Step 2: Convert to fraction form
    31,753.62/47,626.38 = 10,690.38/x
  3. Step 3: Cross multiply
    31,753.62x = 47,626.38 × 10,690.38
  4. Step 4: Simplify right side
    31,753.62x = 509,144,100.22
  5. Step 5: Solve for x
    x = 509,144,100.22/31,753.62
  6. Step 6: Final answer
    x = 16,034.21

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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.