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Finding the Fourth Proportional to 39,693.82, 54,780.24 and 26,241.70

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Solution

The fourth proportional to 39,693.82, 54,780.24 and 26,241.70 is: 36,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,693.82 : 54,780.24 = 26,241.70 : x
  2. Step 2: Convert to fraction form
    39,693.82/54,780.24 = 26,241.70/x
  3. Step 3: Cross multiply
    39,693.82x = 54,780.24 × 26,241.70
  4. Step 4: Simplify right side
    39,693.82x = 1,437,526,624.01
  5. Step 5: Solve for x
    x = 1,437,526,624.01/39,693.82
  6. Step 6: Final answer
    x = 36,215.38

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Why These Related Problems?

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