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Finding the Fourth Proportional to 31,979.90, 47,969.85 and 20,315.90

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Solution

The fourth proportional to 31,979.90, 47,969.85 and 20,315.90 is: 30,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.90 : 47,969.85 = 20,315.90 : x
  2. Step 2: Convert to fraction form
    31,979.90/47,969.85 = 20,315.90/x
  3. Step 3: Cross multiply
    31,979.90x = 47,969.85 × 20,315.90
  4. Step 4: Simplify right side
    31,979.90x = 974,550,675.62
  5. Step 5: Solve for x
    x = 974,550,675.62/31,979.90
  6. Step 6: Final answer
    x = 30,473.85

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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.