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Finding the Fourth Proportional to 83,617.92, 115,299.84 and 81,682.56

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Solution

The fourth proportional to 83,617.92, 115,299.84 and 81,682.56 is: 112,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,617.92 : 115,299.84 = 81,682.56 : x
  2. Step 2: Convert to fraction form
    83,617.92/115,299.84 = 81,682.56/x
  3. Step 3: Cross multiply
    83,617.92x = 115,299.84 × 81,682.56
  4. Step 4: Simplify right side
    83,617.92x = 9,417,986,098.79
  5. Step 5: Solve for x
    x = 9,417,986,098.79/83,617.92
  6. Step 6: Final answer
    x = 112,631.19

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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.