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Finding the Fourth Proportional to 31,956.84, 47,957.04 and 11,180.16

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Solution

The fourth proportional to 31,956.84, 47,957.04 and 11,180.16 is: 16,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.84 : 47,957.04 = 11,180.16 : x
  2. Step 2: Convert to fraction form
    31,956.84/47,957.04 = 11,180.16/x
  3. Step 3: Cross multiply
    31,956.84x = 47,957.04 × 11,180.16
  4. Step 4: Simplify right side
    31,956.84x = 536,167,380.33
  5. Step 5: Solve for x
    x = 536,167,380.33/31,956.84
  6. Step 6: Final answer
    x = 16,777.86

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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.