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Finding the Fourth Proportional to 38,342.28, 52,912.32 and 21,575.28

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Solution

The fourth proportional to 38,342.28, 52,912.32 and 21,575.28 is: 29,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.28 : 52,912.32 = 21,575.28 : x
  2. Step 2: Convert to fraction form
    38,342.28/52,912.32 = 21,575.28/x
  3. Step 3: Cross multiply
    38,342.28x = 52,912.32 × 21,575.28
  4. Step 4: Simplify right side
    38,342.28x = 1,141,598,119.45
  5. Step 5: Solve for x
    x = 1,141,598,119.45/38,342.28
  6. Step 6: Final answer
    x = 29,773.87

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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.