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Finding the Fourth Proportional to 27,601.96, 41,403.62 and 10,071.78

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Solution

The fourth proportional to 27,601.96, 41,403.62 and 10,071.78 is: 15,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.96 : 41,403.62 = 10,071.78 : x
  2. Step 2: Convert to fraction form
    27,601.96/41,403.62 = 10,071.78/x
  3. Step 3: Cross multiply
    27,601.96x = 41,403.62 × 10,071.78
  4. Step 4: Simplify right side
    27,601.96x = 417,008,151.84
  5. Step 5: Solve for x
    x = 417,008,151.84/27,601.96
  6. Step 6: Final answer
    x = 15,107.92

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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.