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Finding the Fourth Proportional to 27,427.60, 41,227.80 and 26,909.20

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Solution

The fourth proportional to 27,427.60, 41,227.80 and 26,909.20 is: 40,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.60 : 41,227.80 = 26,909.20 : x
  2. Step 2: Convert to fraction form
    27,427.60/41,227.80 = 26,909.20/x
  3. Step 3: Cross multiply
    27,427.60x = 41,227.80 × 26,909.20
  4. Step 4: Simplify right side
    27,427.60x = 1,109,407,115.76
  5. Step 5: Solve for x
    x = 1,109,407,115.76/27,427.60
  6. Step 6: Final answer
    x = 40,448.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.