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Finding the Fourth Proportional to 32,208.16, 44,448.78 and 20,115.82

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Solution

The fourth proportional to 32,208.16, 44,448.78 and 20,115.82 is: 27,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.16 : 44,448.78 = 20,115.82 : x
  2. Step 2: Convert to fraction form
    32,208.16/44,448.78 = 20,115.82/x
  3. Step 3: Cross multiply
    32,208.16x = 44,448.78 × 20,115.82
  4. Step 4: Simplify right side
    32,208.16x = 894,123,657.70
  5. Step 5: Solve for x
    x = 894,123,657.70/32,208.16
  6. Step 6: Final answer
    x = 27,760.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.