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Finding the Fourth Proportional to 29,227.20, 43,848 and 8,452.80

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Solution

The fourth proportional to 29,227.20, 43,848 and 8,452.80 is: 12,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227.20 : 43,848 = 8,452.80 : x
  2. Step 2: Convert to fraction form
    29,227.20/43,848 = 8,452.80/x
  3. Step 3: Cross multiply
    29,227.20x = 43,848 × 8,452.80
  4. Step 4: Simplify right side
    29,227.20x = 370,638,374.40
  5. Step 5: Solve for x
    x = 370,638,374.40/29,227.20
  6. Step 6: Final answer
    x = 12,681.28

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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.