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Finding the Fourth Proportional to 27,948.87, 41,924.03 and 8,228.07

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Solution

The fourth proportional to 27,948.87, 41,924.03 and 8,228.07 is: 12,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948.87 : 41,924.03 = 8,228.07 : x
  2. Step 2: Convert to fraction form
    27,948.87/41,924.03 = 8,228.07/x
  3. Step 3: Cross multiply
    27,948.87x = 41,924.03 × 8,228.07
  4. Step 4: Simplify right side
    27,948.87x = 344,953,812.38
  5. Step 5: Solve for x
    x = 344,953,812.38/27,948.87
  6. Step 6: Final answer
    x = 12,342.32

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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.