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Finding the Fourth Proportional to 28,150.75, 38,849.25 and 15,575.50

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Solution

The fourth proportional to 28,150.75, 38,849.25 and 15,575.50 is: 21,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,150.75 : 38,849.25 = 15,575.50 : x
  2. Step 2: Convert to fraction form
    28,150.75/38,849.25 = 15,575.50/x
  3. Step 3: Cross multiply
    28,150.75x = 38,849.25 × 15,575.50
  4. Step 4: Simplify right side
    28,150.75x = 605,096,493.38
  5. Step 5: Solve for x
    x = 605,096,493.38/28,150.75
  6. Step 6: Final answer
    x = 21,494.86

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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.