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Finding the Fourth Proportional to 71,203.25, 98,248.92 and 39,366

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Solution

The fourth proportional to 71,203.25, 98,248.92 and 39,366 is: 54,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.25 : 98,248.92 = 39,366 : x
  2. Step 2: Convert to fraction form
    71,203.25/98,248.92 = 39,366/x
  3. Step 3: Cross multiply
    71,203.25x = 98,248.92 × 39,366
  4. Step 4: Simplify right side
    71,203.25x = 3,867,667,169.25
  5. Step 5: Solve for x
    x = 3,867,667,169.25/71,203.25
  6. Step 6: Final answer
    x = 54,318.69

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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.