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Finding the Fourth Proportional to 57,984.58, 80,023.34 and 34,115.87

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Solution

The fourth proportional to 57,984.58, 80,023.34 and 34,115.87 is: 47,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984.58 : 80,023.34 = 34,115.87 : x
  2. Step 2: Convert to fraction form
    57,984.58/80,023.34 = 34,115.87/x
  3. Step 3: Cross multiply
    57,984.58x = 80,023.34 × 34,115.87
  4. Step 4: Simplify right side
    57,984.58x = 2,730,066,149.75
  5. Step 5: Solve for x
    x = 2,730,066,149.75/57,984.58
  6. Step 6: Final answer
    x = 47,082.62

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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.