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Finding the Fourth Proportional to 71,134.08, 106,768.08 and 36,098.88

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Solution

The fourth proportional to 71,134.08, 106,768.08 and 36,098.88 is: 54,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.08 : 106,768.08 = 36,098.88 : x
  2. Step 2: Convert to fraction form
    71,134.08/106,768.08 = 36,098.88/x
  3. Step 3: Cross multiply
    71,134.08x = 106,768.08 × 36,098.88
  4. Step 4: Simplify right side
    71,134.08x = 3,854,208,107.75
  5. Step 5: Solve for x
    x = 3,854,208,107.75/71,134.08
  6. Step 6: Final answer
    x = 54,182.30

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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.