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Finding the Fourth Proportional to 32,965.33, 49,449.37 and 9,591.77

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Solution

The fourth proportional to 32,965.33, 49,449.37 and 9,591.77 is: 14,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.33 : 49,449.37 = 9,591.77 : x
  2. Step 2: Convert to fraction form
    32,965.33/49,449.37 = 9,591.77/x
  3. Step 3: Cross multiply
    32,965.33x = 49,449.37 × 9,591.77
  4. Step 4: Simplify right side
    32,965.33x = 474,306,935.73
  5. Step 5: Solve for x
    x = 474,306,935.73/32,965.33
  6. Step 6: Final answer
    x = 14,388.05

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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.