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Finding the Fourth Proportional to 73,876.14, 110,814.18 and 18,472.14

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Solution

The fourth proportional to 73,876.14, 110,814.18 and 18,472.14 is: 27,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.14 : 110,814.18 = 18,472.14 : x
  2. Step 2: Convert to fraction form
    73,876.14/110,814.18 = 18,472.14/x
  3. Step 3: Cross multiply
    73,876.14x = 110,814.18 × 18,472.14
  4. Step 4: Simplify right side
    73,876.14x = 2,046,975,046.95
  5. Step 5: Solve for x
    x = 2,046,975,046.95/73,876.14
  6. Step 6: Final answer
    x = 27,708.20

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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.