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Finding the Fourth Proportional to 32,147.77, 48,224.85 and 13,433.66

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Solution

The fourth proportional to 32,147.77, 48,224.85 and 13,433.66 is: 20,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.77 : 48,224.85 = 13,433.66 : x
  2. Step 2: Convert to fraction form
    32,147.77/48,224.85 = 13,433.66/x
  3. Step 3: Cross multiply
    32,147.77x = 48,224.85 × 13,433.66
  4. Step 4: Simplify right side
    32,147.77x = 647,836,238.45
  5. Step 5: Solve for x
    x = 647,836,238.45/32,147.77
  6. Step 6: Final answer
    x = 20,151.83

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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.