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Finding the Fourth Proportional to 31,956.52, 47,956.11 and 11,180.02

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Solution

The fourth proportional to 31,956.52, 47,956.11 and 11,180.02 is: 16,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.52 : 47,956.11 = 11,180.02 : x
  2. Step 2: Convert to fraction form
    31,956.52/47,956.11 = 11,180.02/x
  3. Step 3: Cross multiply
    31,956.52x = 47,956.11 × 11,180.02
  4. Step 4: Simplify right side
    31,956.52x = 536,150,268.92
  5. Step 5: Solve for x
    x = 536,150,268.92/31,956.52
  6. Step 6: Final answer
    x = 16,777.49

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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.