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Finding the Fourth Proportional to 71,498.38, 98,667.84 and 39,667.54

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Solution

The fourth proportional to 71,498.38, 98,667.84 and 39,667.54 is: 54,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,498.38 : 98,667.84 = 39,667.54 : x
  2. Step 2: Convert to fraction form
    71,498.38/98,667.84 = 39,667.54/x
  3. Step 3: Cross multiply
    71,498.38x = 98,667.84 × 39,667.54
  4. Step 4: Simplify right side
    71,498.38x = 3,913,910,489.91
  5. Step 5: Solve for x
    x = 3,913,910,489.91/71,498.38
  6. Step 6: Final answer
    x = 54,741.25

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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.