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Finding the Fourth Proportional to 50,842.82, 76,218.87 and 25,868.90

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Solution

The fourth proportional to 50,842.82, 76,218.87 and 25,868.90 is: 38,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842.82 : 76,218.87 = 25,868.90 : x
  2. Step 2: Convert to fraction form
    50,842.82/76,218.87 = 25,868.90/x
  3. Step 3: Cross multiply
    50,842.82x = 76,218.87 × 25,868.90
  4. Step 4: Simplify right side
    50,842.82x = 1,971,698,326.14
  5. Step 5: Solve for x
    x = 1,971,698,326.14/50,842.82
  6. Step 6: Final answer
    x = 38,780.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.