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Finding the Fourth Proportional to 27,950.20, 41,917.20 and 10,178.80

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Solution

The fourth proportional to 27,950.20, 41,917.20 and 10,178.80 is: 15,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.20 : 41,917.20 = 10,178.80 : x
  2. Step 2: Convert to fraction form
    27,950.20/41,917.20 = 10,178.80/x
  3. Step 3: Cross multiply
    27,950.20x = 41,917.20 × 10,178.80
  4. Step 4: Simplify right side
    27,950.20x = 426,666,795.36
  5. Step 5: Solve for x
    x = 426,666,795.36/27,950.20
  6. Step 6: Final answer
    x = 15,265.25

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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.