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Finding the Fourth Proportional to 71,643.38, 98,864.88 and 39,812

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Solution

The fourth proportional to 71,643.38, 98,864.88 and 39,812 is: 54,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.38 : 98,864.88 = 39,812 : x
  2. Step 2: Convert to fraction form
    71,643.38/98,864.88 = 39,812/x
  3. Step 3: Cross multiply
    71,643.38x = 98,864.88 × 39,812
  4. Step 4: Simplify right side
    71,643.38x = 3,936,008,602.56
  5. Step 5: Solve for x
    x = 3,936,008,602.56/71,643.38
  6. Step 6: Final answer
    x = 54,938.90

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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.