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Finding the Fourth Proportional to 31,709.10, 47,559.88 and 8,337.36

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Solution

The fourth proportional to 31,709.10, 47,559.88 and 8,337.36 is: 12,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.10 : 47,559.88 = 8,337.36 : x
  2. Step 2: Convert to fraction form
    31,709.10/47,559.88 = 8,337.36/x
  3. Step 3: Cross multiply
    31,709.10x = 47,559.88 × 8,337.36
  4. Step 4: Simplify right side
    31,709.10x = 396,523,982.99
  5. Step 5: Solve for x
    x = 396,523,982.99/31,709.10
  6. Step 6: Final answer
    x = 12,505.05

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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.