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Finding the Fourth Proportional to 27,571.92, 41,046.06 and 27,407.89

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Solution

The fourth proportional to 27,571.92, 41,046.06 and 27,407.89 is: 40,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.92 : 41,046.06 = 27,407.89 : x
  2. Step 2: Convert to fraction form
    27,571.92/41,046.06 = 27,407.89/x
  3. Step 3: Cross multiply
    27,571.92x = 41,046.06 × 27,407.89
  4. Step 4: Simplify right side
    27,571.92x = 1,124,985,897.41
  5. Step 5: Solve for x
    x = 1,124,985,897.41/27,571.92
  6. Step 6: Final answer
    x = 40,801.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.