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Finding the Fourth Proportional to 40,481.54, 55,874.54 and 27,582.15

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Solution

The fourth proportional to 40,481.54, 55,874.54 and 27,582.15 is: 38,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,481.54 : 55,874.54 = 27,582.15 : x
  2. Step 2: Convert to fraction form
    40,481.54/55,874.54 = 27,582.15/x
  3. Step 3: Cross multiply
    40,481.54x = 55,874.54 × 27,582.15
  4. Step 4: Simplify right side
    40,481.54x = 1,541,139,805.55
  5. Step 5: Solve for x
    x = 1,541,139,805.55/40,481.54
  6. Step 6: Final answer
    x = 38,070.19

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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.