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Finding the Fourth Proportional to 27,052, 40,577.50 and 12,243.27

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Solution

The fourth proportional to 27,052, 40,577.50 and 12,243.27 is: 18,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052 : 40,577.50 = 12,243.27 : x
  2. Step 2: Convert to fraction form
    27,052/40,577.50 = 12,243.27/x
  3. Step 3: Cross multiply
    27,052x = 40,577.50 × 12,243.27
  4. Step 4: Simplify right side
    27,052x = 496,801,288.43
  5. Step 5: Solve for x
    x = 496,801,288.43/27,052
  6. Step 6: Final answer
    x = 18,364.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.