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Finding the Fourth Proportional to 65,754.80, 98,642.04 and 24,198.64

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Solution

The fourth proportional to 65,754.80, 98,642.04 and 24,198.64 is: 36,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,754.80 : 98,642.04 = 24,198.64 : x
  2. Step 2: Convert to fraction form
    65,754.80/98,642.04 = 24,198.64/x
  3. Step 3: Cross multiply
    65,754.80x = 98,642.04 × 24,198.64
  4. Step 4: Simplify right side
    65,754.80x = 2,387,003,214.83
  5. Step 5: Solve for x
    x = 2,387,003,214.83/65,754.80
  6. Step 6: Final answer
    x = 36,301.58

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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.