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Finding the Fourth Proportional to 31,609.46, 47,399.13 and 9,415.05

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Solution

The fourth proportional to 31,609.46, 47,399.13 and 9,415.05 is: 14,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.46 : 47,399.13 = 9,415.05 : x
  2. Step 2: Convert to fraction form
    31,609.46/47,399.13 = 9,415.05/x
  3. Step 3: Cross multiply
    31,609.46x = 47,399.13 × 9,415.05
  4. Step 4: Simplify right side
    31,609.46x = 446,265,178.91
  5. Step 5: Solve for x
    x = 446,265,178.91/31,609.46
  6. Step 6: Final answer
    x = 14,118.09

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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.