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Finding the Fourth Proportional to 83,443.68, 115,147.44 and 45,711.36

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Solution

The fourth proportional to 83,443.68, 115,147.44 and 45,711.36 is: 63,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.68 : 115,147.44 = 45,711.36 : x
  2. Step 2: Convert to fraction form
    83,443.68/115,147.44 = 45,711.36/x
  3. Step 3: Cross multiply
    83,443.68x = 115,147.44 × 45,711.36
  4. Step 4: Simplify right side
    83,443.68x = 5,263,546,082.92
  5. Step 5: Solve for x
    x = 5,263,546,082.92/83,443.68
  6. Step 6: Final answer
    x = 63,079.03

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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.