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Finding the Fourth Proportional to 31,878.44, 47,773.91 and 20,170.70

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Solution

The fourth proportional to 31,878.44, 47,773.91 and 20,170.70 is: 30,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.44 : 47,773.91 = 20,170.70 : x
  2. Step 2: Convert to fraction form
    31,878.44/47,773.91 = 20,170.70/x
  3. Step 3: Cross multiply
    31,878.44x = 47,773.91 × 20,170.70
  4. Step 4: Simplify right side
    31,878.44x = 963,632,866.71
  5. Step 5: Solve for x
    x = 963,632,866.71/31,878.44
  6. Step 6: Final answer
    x = 30,228.36

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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.