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Finding the Fourth Proportional to 32,891.56, 49,338.14 and 12,900.20

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Solution

The fourth proportional to 32,891.56, 49,338.14 and 12,900.20 is: 19,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.56 : 49,338.14 = 12,900.20 : x
  2. Step 2: Convert to fraction form
    32,891.56/49,338.14 = 12,900.20/x
  3. Step 3: Cross multiply
    32,891.56x = 49,338.14 × 12,900.20
  4. Step 4: Simplify right side
    32,891.56x = 636,471,873.63
  5. Step 5: Solve for x
    x = 636,471,873.63/32,891.56
  6. Step 6: Final answer
    x = 19,350.61

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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.