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Finding the Fourth Proportional to 32,383.80, 48,589.81 and 11,338.95

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Solution

The fourth proportional to 32,383.80, 48,589.81 and 11,338.95 is: 17,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.80 : 48,589.81 = 11,338.95 : x
  2. Step 2: Convert to fraction form
    32,383.80/48,589.81 = 11,338.95/x
  3. Step 3: Cross multiply
    32,383.80x = 48,589.81 × 11,338.95
  4. Step 4: Simplify right side
    32,383.80x = 550,957,579.96
  5. Step 5: Solve for x
    x = 550,957,579.96/32,383.80
  6. Step 6: Final answer
    x = 17,013.37

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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.