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Finding the Fourth Proportional to 31,882.44, 47,813.94 and 8,505.84

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Solution

The fourth proportional to 31,882.44, 47,813.94 and 8,505.84 is: 12,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.44 : 47,813.94 = 8,505.84 : x
  2. Step 2: Convert to fraction form
    31,882.44/47,813.94 = 8,505.84/x
  3. Step 3: Cross multiply
    31,882.44x = 47,813.94 × 8,505.84
  4. Step 4: Simplify right side
    31,882.44x = 406,697,723.41
  5. Step 5: Solve for x
    x = 406,697,723.41/31,882.44
  6. Step 6: Final answer
    x = 12,756.17

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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.