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Finding the Fourth Proportional to 83,289, 124,933.62 and 34,041

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Solution

The fourth proportional to 83,289, 124,933.62 and 34,041 is: 51,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289 : 124,933.62 = 34,041 : x
  2. Step 2: Convert to fraction form
    83,289/124,933.62 = 34,041/x
  3. Step 3: Cross multiply
    83,289x = 124,933.62 × 34,041
  4. Step 4: Simplify right side
    83,289x = 4,252,865,358.42
  5. Step 5: Solve for x
    x = 4,252,865,358.42/83,289
  6. Step 6: Final answer
    x = 51,061.55

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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.