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Finding the Fourth Proportional to 57,103.55, 85,606.10 and 27,542.16

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Solution

The fourth proportional to 57,103.55, 85,606.10 and 27,542.16 is: 41,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103.55 : 85,606.10 = 27,542.16 : x
  2. Step 2: Convert to fraction form
    57,103.55/85,606.10 = 27,542.16/x
  3. Step 3: Cross multiply
    57,103.55x = 85,606.10 × 27,542.16
  4. Step 4: Simplify right side
    57,103.55x = 2,357,776,868.75
  5. Step 5: Solve for x
    x = 2,357,776,868.75/57,103.55
  6. Step 6: Final answer
    x = 41,289.50

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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.