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Finding the Fourth Proportional to 27,091.20, 40,636.80 and 15,427.20

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Solution

The fourth proportional to 27,091.20, 40,636.80 and 15,427.20 is: 23,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,091.20 : 40,636.80 = 15,427.20 : x
  2. Step 2: Convert to fraction form
    27,091.20/40,636.80 = 15,427.20/x
  3. Step 3: Cross multiply
    27,091.20x = 40,636.80 × 15,427.20
  4. Step 4: Simplify right side
    27,091.20x = 626,912,040.96
  5. Step 5: Solve for x
    x = 626,912,040.96/27,091.20
  6. Step 6: Final answer
    x = 23,140.80

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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.