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Finding the Fourth Proportional to 27,308.18, 40,978.20 and 11,512.26

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Solution

The fourth proportional to 27,308.18, 40,978.20 and 11,512.26 is: 17,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,308.18 : 40,978.20 = 11,512.26 : x
  2. Step 2: Convert to fraction form
    27,308.18/40,978.20 = 11,512.26/x
  3. Step 3: Cross multiply
    27,308.18x = 40,978.20 × 11,512.26
  4. Step 4: Simplify right side
    27,308.18x = 471,751,692.73
  5. Step 5: Solve for x
    x = 471,751,692.73/27,308.18
  6. Step 6: Final answer
    x = 17,275.11

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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.