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Finding the Fourth Proportional to 76,912.62, 115,377.17 and 32,543.87

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Solution

The fourth proportional to 76,912.62, 115,377.17 and 32,543.87 is: 48,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,912.62 : 115,377.17 = 32,543.87 : x
  2. Step 2: Convert to fraction form
    76,912.62/115,377.17 = 32,543.87/x
  3. Step 3: Cross multiply
    76,912.62x = 115,377.17 × 32,543.87
  4. Step 4: Simplify right side
    76,912.62x = 3,754,818,881.84
  5. Step 5: Solve for x
    x = 3,754,818,881.84/76,912.62
  6. Step 6: Final answer
    x = 48,819.28

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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.