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Finding the Fourth Proportional to 48,613.96, 67,082.34 and 28,189

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Solution

The fourth proportional to 48,613.96, 67,082.34 and 28,189 is: 38,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613.96 : 67,082.34 = 28,189 : x
  2. Step 2: Convert to fraction form
    48,613.96/67,082.34 = 28,189/x
  3. Step 3: Cross multiply
    48,613.96x = 67,082.34 × 28,189
  4. Step 4: Simplify right side
    48,613.96x = 1,890,984,082.26
  5. Step 5: Solve for x
    x = 1,890,984,082.26/48,613.96
  6. Step 6: Final answer
    x = 38,897.96

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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.