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Finding the Fourth Proportional to 54,747.40, 82,023.90 and 51,248.20

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Solution

The fourth proportional to 54,747.40, 82,023.90 and 51,248.20 is: 76,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,747.40 : 82,023.90 = 51,248.20 : x
  2. Step 2: Convert to fraction form
    54,747.40/82,023.90 = 51,248.20/x
  3. Step 3: Cross multiply
    54,747.40x = 82,023.90 × 51,248.20
  4. Step 4: Simplify right side
    54,747.40x = 4,203,577,231.98
  5. Step 5: Solve for x
    x = 4,203,577,231.98/54,747.40
  6. Step 6: Final answer
    x = 76,781.31

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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.