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Finding the Fourth Proportional to 71,311.96, 98,393.82 and 48,697.97

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Solution

The fourth proportional to 71,311.96, 98,393.82 and 48,697.97 is: 67,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311.96 : 98,393.82 = 48,697.97 : x
  2. Step 2: Convert to fraction form
    71,311.96/98,393.82 = 48,697.97/x
  3. Step 3: Cross multiply
    71,311.96x = 98,393.82 × 48,697.97
  4. Step 4: Simplify right side
    71,311.96x = 4,791,579,294.55
  5. Step 5: Solve for x
    x = 4,791,579,294.55/71,311.96
  6. Step 6: Final answer
    x = 67,191.81

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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.