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Finding the Fourth Proportional to 27,614, 41,403.72 and 18,242.48

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Solution

The fourth proportional to 27,614, 41,403.72 and 18,242.48 is: 27,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 41,403.72 = 18,242.48 : x
  2. Step 2: Convert to fraction form
    27,614/41,403.72 = 18,242.48/x
  3. Step 3: Cross multiply
    27,614x = 41,403.72 × 18,242.48
  4. Step 4: Simplify right side
    27,614x = 755,306,534.03
  5. Step 5: Solve for x
    x = 755,306,534.03/27,614
  6. Step 6: Final answer
    x = 27,352.30

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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.