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Finding the Fourth Proportional to 28,147.88, 38,778.32 and 19,634.82

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Solution

The fourth proportional to 28,147.88, 38,778.32 and 19,634.82 is: 27,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,147.88 : 38,778.32 = 19,634.82 : x
  2. Step 2: Convert to fraction form
    28,147.88/38,778.32 = 19,634.82/x
  3. Step 3: Cross multiply
    28,147.88x = 38,778.32 × 19,634.82
  4. Step 4: Simplify right side
    28,147.88x = 761,405,234.93
  5. Step 5: Solve for x
    x = 761,405,234.93/28,147.88
  6. Step 6: Final answer
    x = 27,050.19

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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.