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Finding the Fourth Proportional to 24,701.60, 37,138.80 and 24,183.20

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Solution

The fourth proportional to 24,701.60, 37,138.80 and 24,183.20 is: 36,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.60 : 37,138.80 = 24,183.20 : x
  2. Step 2: Convert to fraction form
    24,701.60/37,138.80 = 24,183.20/x
  3. Step 3: Cross multiply
    24,701.60x = 37,138.80 × 24,183.20
  4. Step 4: Simplify right side
    24,701.60x = 898,135,028.16
  5. Step 5: Solve for x
    x = 898,135,028.16/24,701.60
  6. Step 6: Final answer
    x = 36,359.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.