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Finding the Fourth Proportional to 57,107.52, 85,612 and 27,484.56

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Solution

The fourth proportional to 57,107.52, 85,612 and 27,484.56 is: 41,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.52 : 85,612 = 27,484.56 : x
  2. Step 2: Convert to fraction form
    57,107.52/85,612 = 27,484.56/x
  3. Step 3: Cross multiply
    57,107.52x = 85,612 × 27,484.56
  4. Step 4: Simplify right side
    57,107.52x = 2,353,008,150.72
  5. Step 5: Solve for x
    x = 2,353,008,150.72/57,107.52
  6. Step 6: Final answer
    x = 41,203.12

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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.