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Finding the Fourth Proportional to 48,761.78, 73,241.07 and 29,078.90

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Solution

The fourth proportional to 48,761.78, 73,241.07 and 29,078.90 is: 43,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761.78 : 73,241.07 = 29,078.90 : x
  2. Step 2: Convert to fraction form
    48,761.78/73,241.07 = 29,078.90/x
  3. Step 3: Cross multiply
    48,761.78x = 73,241.07 × 29,078.90
  4. Step 4: Simplify right side
    48,761.78x = 2,129,769,750.42
  5. Step 5: Solve for x
    x = 2,129,769,750.42/48,761.78
  6. Step 6: Final answer
    x = 43,677.03

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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.