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Finding the Fourth Proportional to 59,838.80, 82,578.11 and 32,982.30

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Solution

The fourth proportional to 59,838.80, 82,578.11 and 32,982.30 is: 45,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,838.80 : 82,578.11 = 32,982.30 : x
  2. Step 2: Convert to fraction form
    59,838.80/82,578.11 = 32,982.30/x
  3. Step 3: Cross multiply
    59,838.80x = 82,578.11 × 32,982.30
  4. Step 4: Simplify right side
    59,838.80x = 2,723,615,832.54
  5. Step 5: Solve for x
    x = 2,723,615,832.54/59,838.80
  6. Step 6: Final answer
    x = 45,515.89

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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.