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Finding the Fourth Proportional to 27,648.22, 41,405.16 and 15,766.14

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Solution

The fourth proportional to 27,648.22, 41,405.16 and 15,766.14 is: 23,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.22 : 41,405.16 = 15,766.14 : x
  2. Step 2: Convert to fraction form
    27,648.22/41,405.16 = 15,766.14/x
  3. Step 3: Cross multiply
    27,648.22x = 41,405.16 × 15,766.14
  4. Step 4: Simplify right side
    27,648.22x = 652,799,741.50
  5. Step 5: Solve for x
    x = 652,799,741.50/27,648.22
  6. Step 6: Final answer
    x = 23,610.91

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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.