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Finding the Fourth Proportional to 38,067.60, 57,045.12 and 33,915.60

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Solution

The fourth proportional to 38,067.60, 57,045.12 and 33,915.60 is: 50,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,067.60 : 57,045.12 = 33,915.60 : x
  2. Step 2: Convert to fraction form
    38,067.60/57,045.12 = 33,915.60/x
  3. Step 3: Cross multiply
    38,067.60x = 57,045.12 × 33,915.60
  4. Step 4: Simplify right side
    38,067.60x = 1,934,719,471.87
  5. Step 5: Solve for x
    x = 1,934,719,471.87/38,067.60
  6. Step 6: Final answer
    x = 50,823.26

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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.