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Finding the Fourth Proportional to 32,993.09, 45,537.90 and 27,678.68

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Solution

The fourth proportional to 32,993.09, 45,537.90 and 27,678.68 is: 38,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.09 : 45,537.90 = 27,678.68 : x
  2. Step 2: Convert to fraction form
    32,993.09/45,537.90 = 27,678.68/x
  3. Step 3: Cross multiply
    32,993.09x = 45,537.90 × 27,678.68
  4. Step 4: Simplify right side
    32,993.09x = 1,260,428,961.97
  5. Step 5: Solve for x
    x = 1,260,428,961.97/32,993.09
  6. Step 6: Final answer
    x = 38,202.82

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Why These Related Problems?

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