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Finding the Fourth Proportional to 31,438.14, 47,149.89 and 9,245.58

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Solution

The fourth proportional to 31,438.14, 47,149.89 and 9,245.58 is: 13,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.14 : 47,149.89 = 9,245.58 : x
  2. Step 2: Convert to fraction form
    31,438.14/47,149.89 = 9,245.58/x
  3. Step 3: Cross multiply
    31,438.14x = 47,149.89 × 9,245.58
  4. Step 4: Simplify right side
    31,438.14x = 435,928,079.99
  5. Step 5: Solve for x
    x = 435,928,079.99/31,438.14
  6. Step 6: Final answer
    x = 13,866.22

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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.