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Finding the Fourth Proportional to 27,165.78, 40,751.10 and 7,444.44

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Solution

The fourth proportional to 27,165.78, 40,751.10 and 7,444.44 is: 11,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.78 : 40,751.10 = 7,444.44 : x
  2. Step 2: Convert to fraction form
    27,165.78/40,751.10 = 7,444.44/x
  3. Step 3: Cross multiply
    27,165.78x = 40,751.10 × 7,444.44
  4. Step 4: Simplify right side
    27,165.78x = 303,369,118.88
  5. Step 5: Solve for x
    x = 303,369,118.88/27,165.78
  6. Step 6: Final answer
    x = 11,167.33

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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.