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Finding the Fourth Proportional to 27,601.91, 41,408.98 and 10,071.69

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Solution

The fourth proportional to 27,601.91, 41,408.98 and 10,071.69 is: 15,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.91 : 41,408.98 = 10,071.69 : x
  2. Step 2: Convert to fraction form
    27,601.91/41,408.98 = 10,071.69/x
  3. Step 3: Cross multiply
    27,601.91x = 41,408.98 × 10,071.69
  4. Step 4: Simplify right side
    27,601.91x = 417,058,409.78
  5. Step 5: Solve for x
    x = 417,058,409.78/27,601.91
  6. Step 6: Final answer
    x = 15,109.77

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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.