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Finding the Fourth Proportional to 83,244.52, 114,874.87 and 50,991.40

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Solution

The fourth proportional to 83,244.52, 114,874.87 and 50,991.40 is: 70,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244.52 : 114,874.87 = 50,991.40 : x
  2. Step 2: Convert to fraction form
    83,244.52/114,874.87 = 50,991.40/x
  3. Step 3: Cross multiply
    83,244.52x = 114,874.87 × 50,991.40
  4. Step 4: Simplify right side
    83,244.52x = 5,857,629,616.79
  5. Step 5: Solve for x
    x = 5,857,629,616.79/83,244.52
  6. Step 6: Final answer
    x = 70,366.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.