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Finding the Fourth Proportional to 57,109.52, 85,615 and 27,486.56

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Solution

The fourth proportional to 57,109.52, 85,615 and 27,486.56 is: 41,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,109.52 : 85,615 = 27,486.56 : x
  2. Step 2: Convert to fraction form
    57,109.52/85,615 = 27,486.56/x
  3. Step 3: Cross multiply
    57,109.52x = 85,615 × 27,486.56
  4. Step 4: Simplify right side
    57,109.52x = 2,353,261,834.40
  5. Step 5: Solve for x
    x = 2,353,261,834.40/57,109.52
  6. Step 6: Final answer
    x = 41,206.12

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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.