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Finding the Fourth Proportional to 76,687.50, 115,049.70 and 24,096.98

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Solution

The fourth proportional to 76,687.50, 115,049.70 and 24,096.98 is: 36,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.50 : 115,049.70 = 24,096.98 : x
  2. Step 2: Convert to fraction form
    76,687.50/115,049.70 = 24,096.98/x
  3. Step 3: Cross multiply
    76,687.50x = 115,049.70 × 24,096.98
  4. Step 4: Simplify right side
    76,687.50x = 2,772,350,319.91
  5. Step 5: Solve for x
    x = 2,772,350,319.91/76,687.50
  6. Step 6: Final answer
    x = 36,151.27

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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.