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Finding the Fourth Proportional to 65,668.24, 98,512.08 and 24,112

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Solution

The fourth proportional to 65,668.24, 98,512.08 and 24,112 is: 36,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,668.24 : 98,512.08 = 24,112 : x
  2. Step 2: Convert to fraction form
    65,668.24/98,512.08 = 24,112/x
  3. Step 3: Cross multiply
    65,668.24x = 98,512.08 × 24,112
  4. Step 4: Simplify right side
    65,668.24x = 2,375,323,272.96
  5. Step 5: Solve for x
    x = 2,375,323,272.96/65,668.24
  6. Step 6: Final answer
    x = 36,171.57

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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.