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Finding the Fourth Proportional to 101,932.74, 152,838.54 and 38,757.48

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Solution

The fourth proportional to 101,932.74, 152,838.54 and 38,757.48 is: 58,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,932.74 : 152,838.54 = 38,757.48 : x
  2. Step 2: Convert to fraction form
    101,932.74/152,838.54 = 38,757.48/x
  3. Step 3: Cross multiply
    101,932.74x = 152,838.54 × 38,757.48
  4. Step 4: Simplify right side
    101,932.74x = 5,923,636,657.28
  5. Step 5: Solve for x
    x = 5,923,636,657.28/101,932.74
  6. Step 6: Final answer
    x = 58,113.19

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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.