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Finding the Fourth Proportional to 32,399.87, 48,562.74 and 13,651.81

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Solution

The fourth proportional to 32,399.87, 48,562.74 and 13,651.81 is: 20,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,399.87 : 48,562.74 = 13,651.81 : x
  2. Step 2: Convert to fraction form
    32,399.87/48,562.74 = 13,651.81/x
  3. Step 3: Cross multiply
    32,399.87x = 48,562.74 × 13,651.81
  4. Step 4: Simplify right side
    32,399.87x = 662,969,178.15
  5. Step 5: Solve for x
    x = 662,969,178.15/32,399.87
  6. Step 6: Final answer
    x = 20,462.10

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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.