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Finding the Fourth Proportional to 86,269.92, 129,404.88 and 49,308

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Solution

The fourth proportional to 86,269.92, 129,404.88 and 49,308 is: 73,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,269.92 : 129,404.88 = 49,308 : x
  2. Step 2: Convert to fraction form
    86,269.92/129,404.88 = 49,308/x
  3. Step 3: Cross multiply
    86,269.92x = 129,404.88 × 49,308
  4. Step 4: Simplify right side
    86,269.92x = 6,380,695,823.04
  5. Step 5: Solve for x
    x = 6,380,695,823.04/86,269.92
  6. Step 6: Final answer
    x = 73,962

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.