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Finding the Fourth Proportional to 83,231.62, 124,859.86 and 30,637.11

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Solution

The fourth proportional to 83,231.62, 124,859.86 and 30,637.11 is: 45,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.62 : 124,859.86 = 30,637.11 : x
  2. Step 2: Convert to fraction form
    83,231.62/124,859.86 = 30,637.11/x
  3. Step 3: Cross multiply
    83,231.62x = 124,859.86 × 30,637.11
  4. Step 4: Simplify right side
    83,231.62x = 3,825,345,265.40
  5. Step 5: Solve for x
    x = 3,825,345,265.40/83,231.62
  6. Step 6: Final answer
    x = 45,960.24

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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.