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Finding the Fourth Proportional to 31,624.83, 47,440.89 and 8,253.09

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Solution

The fourth proportional to 31,624.83, 47,440.89 and 8,253.09 is: 12,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.83 : 47,440.89 = 8,253.09 : x
  2. Step 2: Convert to fraction form
    31,624.83/47,440.89 = 8,253.09/x
  3. Step 3: Cross multiply
    31,624.83x = 47,440.89 × 8,253.09
  4. Step 4: Simplify right side
    31,624.83x = 391,533,934.85
  5. Step 5: Solve for x
    x = 391,533,934.85/31,624.83
  6. Step 6: Final answer
    x = 12,380.59

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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.