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Finding the Fourth Proportional to 69,847.38, 96,432.45 and 48,080.82

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Solution

The fourth proportional to 69,847.38, 96,432.45 and 48,080.82 is: 66,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.38 : 96,432.45 = 48,080.82 : x
  2. Step 2: Convert to fraction form
    69,847.38/96,432.45 = 48,080.82/x
  3. Step 3: Cross multiply
    69,847.38x = 96,432.45 × 48,080.82
  4. Step 4: Simplify right side
    69,847.38x = 4,636,551,270.61
  5. Step 5: Solve for x
    x = 4,636,551,270.61/69,847.38
  6. Step 6: Final answer
    x = 66,381.18

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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.