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Finding the Fourth Proportional to 71,311.46, 98,393.13 and 48,697.47

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Solution

The fourth proportional to 71,311.46, 98,393.13 and 48,697.47 is: 67,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311.46 : 98,393.13 = 48,697.47 : x
  2. Step 2: Convert to fraction form
    71,311.46/98,393.13 = 48,697.47/x
  3. Step 3: Cross multiply
    71,311.46x = 98,393.13 × 48,697.47
  4. Step 4: Simplify right side
    71,311.46x = 4,791,496,496.38
  5. Step 5: Solve for x
    x = 4,791,496,496.38/71,311.46
  6. Step 6: Final answer
    x = 67,191.12

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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.