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Finding the Fourth Proportional to 70,736.96, 97,613.38 and 38,899.74

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Solution

The fourth proportional to 70,736.96, 97,613.38 and 38,899.74 is: 53,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,736.96 : 97,613.38 = 38,899.74 : x
  2. Step 2: Convert to fraction form
    70,736.96/97,613.38 = 38,899.74/x
  3. Step 3: Cross multiply
    70,736.96x = 97,613.38 × 38,899.74
  4. Step 4: Simplify right side
    70,736.96x = 3,797,135,102.52
  5. Step 5: Solve for x
    x = 3,797,135,102.52/70,736.96
  6. Step 6: Final answer
    x = 53,679.65

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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.