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Finding the Fourth Proportional to 83,144.56, 114,652.20 and 54,814

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Solution

The fourth proportional to 83,144.56, 114,652.20 and 54,814 is: 75,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.56 : 114,652.20 = 54,814 : x
  2. Step 2: Convert to fraction form
    83,144.56/114,652.20 = 54,814/x
  3. Step 3: Cross multiply
    83,144.56x = 114,652.20 × 54,814
  4. Step 4: Simplify right side
    83,144.56x = 6,284,545,690.80
  5. Step 5: Solve for x
    x = 6,284,545,690.80/83,144.56
  6. Step 6: Final answer
    x = 75,585.77

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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.