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Finding the Fourth Proportional to 59,841.71, 82,577.81 and 32,982.74

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Solution

The fourth proportional to 59,841.71, 82,577.81 and 32,982.74 is: 45,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,841.71 : 82,577.81 = 32,982.74 : x
  2. Step 2: Convert to fraction form
    59,841.71/82,577.81 = 32,982.74/x
  3. Step 3: Cross multiply
    59,841.71x = 82,577.81 × 32,982.74
  4. Step 4: Simplify right side
    59,841.71x = 2,723,642,272.09
  5. Step 5: Solve for x
    x = 2,723,642,272.09/59,841.71
  6. Step 6: Final answer
    x = 45,514.11

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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.