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Finding the Fourth Proportional to 27,031, 40,546.52 and 8,563

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Solution

The fourth proportional to 27,031, 40,546.52 and 8,563 is: 12,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031 : 40,546.52 = 8,563 : x
  2. Step 2: Convert to fraction form
    27,031/40,546.52 = 8,563/x
  3. Step 3: Cross multiply
    27,031x = 40,546.52 × 8,563
  4. Step 4: Simplify right side
    27,031x = 347,199,850.76
  5. Step 5: Solve for x
    x = 347,199,850.76/27,031
  6. Step 6: Final answer
    x = 12,844.51

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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.