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Finding the Fourth Proportional to 31,461.62, 47,183.92 and 9,269.24

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Solution

The fourth proportional to 31,461.62, 47,183.92 and 9,269.24 is: 13,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.62 : 47,183.92 = 9,269.24 : x
  2. Step 2: Convert to fraction form
    31,461.62/47,183.92 = 9,269.24/x
  3. Step 3: Cross multiply
    31,461.62x = 47,183.92 × 9,269.24
  4. Step 4: Simplify right side
    31,461.62x = 437,358,819.53
  5. Step 5: Solve for x
    x = 437,358,819.53/31,461.62
  6. Step 6: Final answer
    x = 13,901.35

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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.