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Finding the Fourth Proportional to 33,036.93, 49,554.97 and 8,077.20

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Solution

The fourth proportional to 33,036.93, 49,554.97 and 8,077.20 is: 12,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,036.93 : 49,554.97 = 8,077.20 : x
  2. Step 2: Convert to fraction form
    33,036.93/49,554.97 = 8,077.20/x
  3. Step 3: Cross multiply
    33,036.93x = 49,554.97 × 8,077.20
  4. Step 4: Simplify right side
    33,036.93x = 400,265,403.68
  5. Step 5: Solve for x
    x = 400,265,403.68/33,036.93
  6. Step 6: Final answer
    x = 12,115.70

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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.