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Finding the Fourth Proportional to 54,001.80, 80,978.40 and 24,404.40

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Solution

The fourth proportional to 54,001.80, 80,978.40 and 24,404.40 is: 36,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,001.80 : 80,978.40 = 24,404.40 : x
  2. Step 2: Convert to fraction form
    54,001.80/80,978.40 = 24,404.40/x
  3. Step 3: Cross multiply
    54,001.80x = 80,978.40 × 24,404.40
  4. Step 4: Simplify right side
    54,001.80x = 1,976,229,264.96
  5. Step 5: Solve for x
    x = 1,976,229,264.96/54,001.80
  6. Step 6: Final answer
    x = 36,595.62

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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.