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Finding the Fourth Proportional to 27,881.20, 41,822.04 and 7,104.68

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Solution

The fourth proportional to 27,881.20, 41,822.04 and 7,104.68 is: 10,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.20 : 41,822.04 = 7,104.68 : x
  2. Step 2: Convert to fraction form
    27,881.20/41,822.04 = 7,104.68/x
  3. Step 3: Cross multiply
    27,881.20x = 41,822.04 × 7,104.68
  4. Step 4: Simplify right side
    27,881.20x = 297,132,211.15
  5. Step 5: Solve for x
    x = 297,132,211.15/27,881.20
  6. Step 6: Final answer
    x = 10,657.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.