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Finding the Fourth Proportional to 83,107.62, 114,687.90 and 45,382.14

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Solution

The fourth proportional to 83,107.62, 114,687.90 and 45,382.14 is: 62,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,107.62 : 114,687.90 = 45,382.14 : x
  2. Step 2: Convert to fraction form
    83,107.62/114,687.90 = 45,382.14/x
  3. Step 3: Cross multiply
    83,107.62x = 114,687.90 × 45,382.14
  4. Step 4: Simplify right side
    83,107.62x = 5,204,782,334.11
  5. Step 5: Solve for x
    x = 5,204,782,334.11/83,107.62
  6. Step 6: Final answer
    x = 62,627.02

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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.