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Finding the Fourth Proportional to 70,441.32, 97,211.22 and 38,613.24

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Solution

The fourth proportional to 70,441.32, 97,211.22 and 38,613.24 is: 53,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441.32 : 97,211.22 = 38,613.24 : x
  2. Step 2: Convert to fraction form
    70,441.32/97,211.22 = 38,613.24/x
  3. Step 3: Cross multiply
    70,441.32x = 97,211.22 × 38,613.24
  4. Step 4: Simplify right side
    70,441.32x = 3,753,640,168.55
  5. Step 5: Solve for x
    x = 3,753,640,168.55/70,441.32
  6. Step 6: Final answer
    x = 53,287.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.