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Finding the Fourth Proportional to 76,497.86, 114,791.70 and 32,121.20

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Solution

The fourth proportional to 76,497.86, 114,791.70 and 32,121.20 is: 48,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.86 : 114,791.70 = 32,121.20 : x
  2. Step 2: Convert to fraction form
    76,497.86/114,791.70 = 32,121.20/x
  3. Step 3: Cross multiply
    76,497.86x = 114,791.70 × 32,121.20
  4. Step 4: Simplify right side
    76,497.86x = 3,687,247,154.04
  5. Step 5: Solve for x
    x = 3,687,247,154.04/76,497.86
  6. Step 6: Final answer
    x = 48,200.66

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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.