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Finding the Fourth Proportional to 45,349.56, 62,578.52 and 25,200

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Solution

The fourth proportional to 45,349.56, 62,578.52 and 25,200 is: 34,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349.56 : 62,578.52 = 25,200 : x
  2. Step 2: Convert to fraction form
    45,349.56/62,578.52 = 25,200/x
  3. Step 3: Cross multiply
    45,349.56x = 62,578.52 × 25,200
  4. Step 4: Simplify right side
    45,349.56x = 1,576,978,578
  5. Step 5: Solve for x
    x = 1,576,978,578/45,349.56
  6. Step 6: Final answer
    x = 34,773.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.