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Finding the Fourth Proportional to 65,843.58, 98,768.19 and 25,871.22

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Solution

The fourth proportional to 65,843.58, 98,768.19 and 25,871.22 is: 38,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.58 : 98,768.19 = 25,871.22 : x
  2. Step 2: Convert to fraction form
    65,843.58/98,768.19 = 25,871.22/x
  3. Step 3: Cross multiply
    65,843.58x = 98,768.19 × 25,871.22
  4. Step 4: Simplify right side
    65,843.58x = 2,555,253,572.49
  5. Step 5: Solve for x
    x = 2,555,253,572.49/65,843.58
  6. Step 6: Final answer
    x = 38,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.