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Finding the Fourth Proportional to 83,123.60, 114,713.41 and 49,161.20

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Solution

The fourth proportional to 83,123.60, 114,713.41 and 49,161.20 is: 67,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,123.60 : 114,713.41 = 49,161.20 : x
  2. Step 2: Convert to fraction form
    83,123.60/114,713.41 = 49,161.20/x
  3. Step 3: Cross multiply
    83,123.60x = 114,713.41 × 49,161.20
  4. Step 4: Simplify right side
    83,123.60x = 5,639,448,891.69
  5. Step 5: Solve for x
    x = 5,639,448,891.69/83,123.60
  6. Step 6: Final answer
    x = 67,844.14

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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.