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Finding the Fourth Proportional to 76,613.20, 114,938.20 and 24,022.68

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Solution

The fourth proportional to 76,613.20, 114,938.20 and 24,022.68 is: 36,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,613.20 : 114,938.20 = 24,022.68 : x
  2. Step 2: Convert to fraction form
    76,613.20/114,938.20 = 24,022.68/x
  3. Step 3: Cross multiply
    76,613.20x = 114,938.20 × 24,022.68
  4. Step 4: Simplify right side
    76,613.20x = 2,761,123,598.38
  5. Step 5: Solve for x
    x = 2,761,123,598.38/76,613.20
  6. Step 6: Final answer
    x = 36,039.79

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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.