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Finding the Fourth Proportional to 31,984.34, 47,977.72 and 8,611.38

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Solution

The fourth proportional to 31,984.34, 47,977.72 and 8,611.38 is: 12,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.34 : 47,977.72 = 8,611.38 : x
  2. Step 2: Convert to fraction form
    31,984.34/47,977.72 = 8,611.38/x
  3. Step 3: Cross multiply
    31,984.34x = 47,977.72 × 8,611.38
  4. Step 4: Simplify right side
    31,984.34x = 413,154,356.93
  5. Step 5: Solve for x
    x = 413,154,356.93/31,984.34
  6. Step 6: Final answer
    x = 12,917.40

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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.