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Finding the Fourth Proportional to 57,877.20, 86,739.12 and 29,796.12

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Solution

The fourth proportional to 57,877.20, 86,739.12 and 29,796.12 is: 44,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877.20 : 86,739.12 = 29,796.12 : x
  2. Step 2: Convert to fraction form
    57,877.20/86,739.12 = 29,796.12/x
  3. Step 3: Cross multiply
    57,877.20x = 86,739.12 × 29,796.12
  4. Step 4: Simplify right side
    57,877.20x = 2,584,489,228.21
  5. Step 5: Solve for x
    x = 2,584,489,228.21/57,877.20
  6. Step 6: Final answer
    x = 44,654.70

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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.