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Finding the Fourth Proportional to 29,962.40, 44,943.60 and 9,183.20

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Solution

The fourth proportional to 29,962.40, 44,943.60 and 9,183.20 is: 13,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962.40 : 44,943.60 = 9,183.20 : x
  2. Step 2: Convert to fraction form
    29,962.40/44,943.60 = 9,183.20/x
  3. Step 3: Cross multiply
    29,962.40x = 44,943.60 × 9,183.20
  4. Step 4: Simplify right side
    29,962.40x = 412,726,067.52
  5. Step 5: Solve for x
    x = 412,726,067.52/29,962.40
  6. Step 6: Final answer
    x = 13,774.80

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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.