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Finding the Fourth Proportional to 59,727.44, 82,422.08 and 32,869.92

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Solution

The fourth proportional to 59,727.44, 82,422.08 and 32,869.92 is: 45,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,727.44 : 82,422.08 = 32,869.92 : x
  2. Step 2: Convert to fraction form
    59,727.44/82,422.08 = 32,869.92/x
  3. Step 3: Cross multiply
    59,727.44x = 82,422.08 × 32,869.92
  4. Step 4: Simplify right side
    59,727.44x = 2,709,207,175.83
  5. Step 5: Solve for x
    x = 2,709,207,175.83/59,727.44
  6. Step 6: Final answer
    x = 45,359.51

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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.