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Finding the Fourth Proportional to 65,757.28, 98,674.80 and 24,233.44

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Solution

The fourth proportional to 65,757.28, 98,674.80 and 24,233.44 is: 36,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757.28 : 98,674.80 = 24,233.44 : x
  2. Step 2: Convert to fraction form
    65,757.28/98,674.80 = 24,233.44/x
  3. Step 3: Cross multiply
    65,757.28x = 98,674.80 × 24,233.44
  4. Step 4: Simplify right side
    65,757.28x = 2,391,229,845.31
  5. Step 5: Solve for x
    x = 2,391,229,845.31/65,757.28
  6. Step 6: Final answer
    x = 36,364.49

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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.