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Finding the Fourth Proportional to 59,871.20, 82,615.84 and 33,012

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Solution

The fourth proportional to 59,871.20, 82,615.84 and 33,012 is: 45,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,871.20 : 82,615.84 = 33,012 : x
  2. Step 2: Convert to fraction form
    59,871.20/82,615.84 = 33,012/x
  3. Step 3: Cross multiply
    59,871.20x = 82,615.84 × 33,012
  4. Step 4: Simplify right side
    59,871.20x = 2,727,314,110.08
  5. Step 5: Solve for x
    x = 2,727,314,110.08/59,871.20
  6. Step 6: Final answer
    x = 45,553.02

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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.