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Finding the Fourth Proportional to 27,643.20, 41,464.80 and 19,348.80

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Solution

The fourth proportional to 27,643.20, 41,464.80 and 19,348.80 is: 29,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.20 : 41,464.80 = 19,348.80 : x
  2. Step 2: Convert to fraction form
    27,643.20/41,464.80 = 19,348.80/x
  3. Step 3: Cross multiply
    27,643.20x = 41,464.80 × 19,348.80
  4. Step 4: Simplify right side
    27,643.20x = 802,294,122.24
  5. Step 5: Solve for x
    x = 802,294,122.24/27,643.20
  6. Step 6: Final answer
    x = 29,023.20

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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.