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Finding the Fourth Proportional to 65,512.80, 98,269.20 and 37,519.20

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Solution

The fourth proportional to 65,512.80, 98,269.20 and 37,519.20 is: 56,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512.80 : 98,269.20 = 37,519.20 : x
  2. Step 2: Convert to fraction form
    65,512.80/98,269.20 = 37,519.20/x
  3. Step 3: Cross multiply
    65,512.80x = 98,269.20 × 37,519.20
  4. Step 4: Simplify right side
    65,512.80x = 3,686,981,768.64
  5. Step 5: Solve for x
    x = 3,686,981,768.64/65,512.80
  6. Step 6: Final answer
    x = 56,278.80

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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.