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Finding the Fourth Proportional to 27,805.20, 41,707.80 and 24,349.20

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Solution

The fourth proportional to 27,805.20, 41,707.80 and 24,349.20 is: 36,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.20 : 41,707.80 = 24,349.20 : x
  2. Step 2: Convert to fraction form
    27,805.20/41,707.80 = 24,349.20/x
  3. Step 3: Cross multiply
    27,805.20x = 41,707.80 × 24,349.20
  4. Step 4: Simplify right side
    27,805.20x = 1,015,551,563.76
  5. Step 5: Solve for x
    x = 1,015,551,563.76/27,805.20
  6. Step 6: Final answer
    x = 36,523.80

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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.