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Finding the Fourth Proportional to 27,758.30, 41,641.56 and 8,034.39

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Solution

The fourth proportional to 27,758.30, 41,641.56 and 8,034.39 is: 12,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.30 : 41,641.56 = 8,034.39 : x
  2. Step 2: Convert to fraction form
    27,758.30/41,641.56 = 8,034.39/x
  3. Step 3: Cross multiply
    27,758.30x = 41,641.56 × 8,034.39
  4. Step 4: Simplify right side
    27,758.30x = 334,564,533.25
  5. Step 5: Solve for x
    x = 334,564,533.25/27,758.30
  6. Step 6: Final answer
    x = 12,052.78

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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.