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Finding the Fourth Proportional to 101,932.99, 152,838.92 and 38,757.73

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Solution

The fourth proportional to 101,932.99, 152,838.92 and 38,757.73 is: 58,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,932.99 : 152,838.92 = 38,757.73 : x
  2. Step 2: Convert to fraction form
    101,932.99/152,838.92 = 38,757.73/x
  3. Step 3: Cross multiply
    101,932.99x = 152,838.92 × 38,757.73
  4. Step 4: Simplify right side
    101,932.99x = 5,923,689,401.06
  5. Step 5: Solve for x
    x = 5,923,689,401.06/101,932.99
  6. Step 6: Final answer
    x = 58,113.57

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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.