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Finding the Fourth Proportional to 118,074.87, 177,046.59 and 47,872.17

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Solution

The fourth proportional to 118,074.87, 177,046.59 and 47,872.17 is: 71,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,074.87 : 177,046.59 = 47,872.17 : x
  2. Step 2: Convert to fraction form
    118,074.87/177,046.59 = 47,872.17/x
  3. Step 3: Cross multiply
    118,074.87x = 177,046.59 × 47,872.17
  4. Step 4: Simplify right side
    118,074.87x = 8,475,604,454.40
  5. Step 5: Solve for x
    x = 8,475,604,454.40/118,074.87
  6. Step 6: Final answer
    x = 71,781.61

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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.