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Finding the Fourth Proportional to 65,387.20, 98,080.80 and 23,828.80

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Solution

The fourth proportional to 65,387.20, 98,080.80 and 23,828.80 is: 35,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387.20 : 98,080.80 = 23,828.80 : x
  2. Step 2: Convert to fraction form
    65,387.20/98,080.80 = 23,828.80/x
  3. Step 3: Cross multiply
    65,387.20x = 98,080.80 × 23,828.80
  4. Step 4: Simplify right side
    65,387.20x = 2,337,147,767.04
  5. Step 5: Solve for x
    x = 2,337,147,767.04/65,387.20
  6. Step 6: Final answer
    x = 35,743.20

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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.