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Finding the Fourth Proportional to 48,044.96, 66,324.52 and 27,897.92

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Solution

The fourth proportional to 48,044.96, 66,324.52 and 27,897.92 is: 38,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,044.96 : 66,324.52 = 27,897.92 : x
  2. Step 2: Convert to fraction form
    48,044.96/66,324.52 = 27,897.92/x
  3. Step 3: Cross multiply
    48,044.96x = 66,324.52 × 27,897.92
  4. Step 4: Simplify right side
    48,044.96x = 1,850,316,104.97
  5. Step 5: Solve for x
    x = 1,850,316,104.97/48,044.96
  6. Step 6: Final answer
    x = 38,512.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.