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Finding the Fourth Proportional to 57,103.61, 85,672.94 and 25,540.22

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Solution

The fourth proportional to 57,103.61, 85,672.94 and 25,540.22 is: 38,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103.61 : 85,672.94 = 25,540.22 : x
  2. Step 2: Convert to fraction form
    57,103.61/85,672.94 = 25,540.22/x
  3. Step 3: Cross multiply
    57,103.61x = 85,672.94 × 25,540.22
  4. Step 4: Simplify right side
    57,103.61x = 2,188,105,822.13
  5. Step 5: Solve for x
    x = 2,188,105,822.13/57,103.61
  6. Step 6: Final answer
    x = 38,318.17

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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.