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Finding the Fourth Proportional to 57,141.60, 85,713.48 and 23,861.76

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Solution

The fourth proportional to 57,141.60, 85,713.48 and 23,861.76 is: 35,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.60 : 85,713.48 = 23,861.76 : x
  2. Step 2: Convert to fraction form
    57,141.60/85,713.48 = 23,861.76/x
  3. Step 3: Cross multiply
    57,141.60x = 85,713.48 × 23,861.76
  4. Step 4: Simplify right side
    57,141.60x = 2,045,274,488.52
  5. Step 5: Solve for x
    x = 2,045,274,488.52/57,141.60
  6. Step 6: Final answer
    x = 35,793.09

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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.