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Finding the Fourth Proportional to 80,347.52, 120,472.67 and 35,966

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Solution

The fourth proportional to 80,347.52, 120,472.67 and 35,966 is: 53,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,347.52 : 120,472.67 = 35,966 : x
  2. Step 2: Convert to fraction form
    80,347.52/120,472.67 = 35,966/x
  3. Step 3: Cross multiply
    80,347.52x = 120,472.67 × 35,966
  4. Step 4: Simplify right side
    80,347.52x = 4,332,919,869.39
  5. Step 5: Solve for x
    x = 4,332,919,869.39/80,347.52
  6. Step 6: Final answer
    x = 53,927.24

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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.