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Finding the Fourth Proportional to 38,256.75, 52,799.28 and 21,489.75

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Solution

The fourth proportional to 38,256.75, 52,799.28 and 21,489.75 is: 29,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.75 : 52,799.28 = 21,489.75 : x
  2. Step 2: Convert to fraction form
    38,256.75/52,799.28 = 21,489.75/x
  3. Step 3: Cross multiply
    38,256.75x = 52,799.28 × 21,489.75
  4. Step 4: Simplify right side
    38,256.75x = 1,134,643,327.38
  5. Step 5: Solve for x
    x = 1,134,643,327.38/38,256.75
  6. Step 6: Final answer
    x = 29,658.64

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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.