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Finding the Fourth Proportional to 32,822.40, 49,183.20 and 24,463.20

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Solution

The fourth proportional to 32,822.40, 49,183.20 and 24,463.20 is: 36,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.40 : 49,183.20 = 24,463.20 : x
  2. Step 2: Convert to fraction form
    32,822.40/49,183.20 = 24,463.20/x
  3. Step 3: Cross multiply
    32,822.40x = 49,183.20 × 24,463.20
  4. Step 4: Simplify right side
    32,822.40x = 1,203,178,458.24
  5. Step 5: Solve for x
    x = 1,203,178,458.24/32,822.40
  6. Step 6: Final answer
    x = 36,657.24

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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.