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Finding the Fourth Proportional to 76,702.62, 115,061.78 and 29,357.49

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Solution

The fourth proportional to 76,702.62, 115,061.78 and 29,357.49 is: 44,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.62 : 115,061.78 = 29,357.49 : x
  2. Step 2: Convert to fraction form
    76,702.62/115,061.78 = 29,357.49/x
  3. Step 3: Cross multiply
    76,702.62x = 115,061.78 × 29,357.49
  4. Step 4: Simplify right side
    76,702.62x = 3,377,924,333.64
  5. Step 5: Solve for x
    x = 3,377,924,333.64/76,702.62
  6. Step 6: Final answer
    x = 44,039.23

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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.