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Finding the Fourth Proportional to 32,049.92, 48,082.02 and 9,865.28

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Solution

The fourth proportional to 32,049.92, 48,082.02 and 9,865.28 is: 14,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.92 : 48,082.02 = 9,865.28 : x
  2. Step 2: Convert to fraction form
    32,049.92/48,082.02 = 9,865.28/x
  3. Step 3: Cross multiply
    32,049.92x = 48,082.02 × 9,865.28
  4. Step 4: Simplify right side
    32,049.92x = 474,342,590.27
  5. Step 5: Solve for x
    x = 474,342,590.27/32,049.92
  6. Step 6: Final answer
    x = 14,800.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.