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Finding the Fourth Proportional to 31,697.38, 47,553.96 and 9,511.16

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Solution

The fourth proportional to 31,697.38, 47,553.96 and 9,511.16 is: 14,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.38 : 47,553.96 = 9,511.16 : x
  2. Step 2: Convert to fraction form
    31,697.38/47,553.96 = 9,511.16/x
  3. Step 3: Cross multiply
    31,697.38x = 47,553.96 × 9,511.16
  4. Step 4: Simplify right side
    31,697.38x = 452,293,322.19
  5. Step 5: Solve for x
    x = 452,293,322.19/31,697.38
  6. Step 6: Final answer
    x = 14,269.11

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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.