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Finding the Fourth Proportional to 83,213.50, 114,885.48 and 54,169.42

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Solution

The fourth proportional to 83,213.50, 114,885.48 and 54,169.42 is: 74,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.50 : 114,885.48 = 54,169.42 : x
  2. Step 2: Convert to fraction form
    83,213.50/114,885.48 = 54,169.42/x
  3. Step 3: Cross multiply
    83,213.50x = 114,885.48 × 54,169.42
  4. Step 4: Simplify right side
    83,213.50x = 6,223,279,818.02
  5. Step 5: Solve for x
    x = 6,223,279,818.02/83,213.50
  6. Step 6: Final answer
    x = 74,786.90

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1.5x scale

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.