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Finding the Fourth Proportional to 65,750.72, 98,616.36 and 24,188

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Solution

The fourth proportional to 65,750.72, 98,616.36 and 24,188 is: 36,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750.72 : 98,616.36 = 24,188 : x
  2. Step 2: Convert to fraction form
    65,750.72/98,616.36 = 24,188/x
  3. Step 3: Cross multiply
    65,750.72x = 98,616.36 × 24,188
  4. Step 4: Simplify right side
    65,750.72x = 2,385,332,515.68
  5. Step 5: Solve for x
    x = 2,385,332,515.68/65,750.72
  6. Step 6: Final answer
    x = 36,278.42

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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.