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Finding the Fourth Proportional to 81,082.72, 111,920.88 and 47,548

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Solution

The fourth proportional to 81,082.72, 111,920.88 and 47,548 is: 65,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,082.72 : 111,920.88 = 47,548 : x
  2. Step 2: Convert to fraction form
    81,082.72/111,920.88 = 47,548/x
  3. Step 3: Cross multiply
    81,082.72x = 111,920.88 × 47,548
  4. Step 4: Simplify right side
    81,082.72x = 5,321,614,002.24
  5. Step 5: Solve for x
    x = 5,321,614,002.24/81,082.72
  6. Step 6: Final answer
    x = 65,631.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.