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Finding the Fourth Proportional to 27,344.25, 41,023.67 and 13,493.25

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Solution

The fourth proportional to 27,344.25, 41,023.67 and 13,493.25 is: 20,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344.25 : 41,023.67 = 13,493.25 : x
  2. Step 2: Convert to fraction form
    27,344.25/41,023.67 = 13,493.25/x
  3. Step 3: Cross multiply
    27,344.25x = 41,023.67 × 13,493.25
  4. Step 4: Simplify right side
    27,344.25x = 553,542,567.76
  5. Step 5: Solve for x
    x = 553,542,567.76/27,344.25
  6. Step 6: Final answer
    x = 20,243.47

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1.5x scale

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.