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Finding the Fourth Proportional to 59,841.75, 82,581.27 and 32,617.80

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Solution

The fourth proportional to 59,841.75, 82,581.27 and 32,617.80 is: 45,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,841.75 : 82,581.27 = 32,617.80 : x
  2. Step 2: Convert to fraction form
    59,841.75/82,581.27 = 32,617.80/x
  3. Step 3: Cross multiply
    59,841.75x = 82,581.27 × 32,617.80
  4. Step 4: Simplify right side
    59,841.75x = 2,693,619,348.61
  5. Step 5: Solve for x
    x = 2,693,619,348.61/59,841.75
  6. Step 6: Final answer
    x = 45,012.38

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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.