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Finding the Fourth Proportional to 27,757.36, 41,642.12 and 8,036.72

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Solution

The fourth proportional to 27,757.36, 41,642.12 and 8,036.72 is: 12,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.36 : 41,642.12 = 8,036.72 : x
  2. Step 2: Convert to fraction form
    27,757.36/41,642.12 = 8,036.72/x
  3. Step 3: Cross multiply
    27,757.36x = 41,642.12 × 8,036.72
  4. Step 4: Simplify right side
    27,757.36x = 334,666,058.65
  5. Step 5: Solve for x
    x = 334,666,058.65/27,757.36
  6. Step 6: Final answer
    x = 12,056.84

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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.