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Finding the Fourth Proportional to 31,439.58, 47,161.05 and 8,066.22

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Solution

The fourth proportional to 31,439.58, 47,161.05 and 8,066.22 is: 12,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,439.58 : 47,161.05 = 8,066.22 : x
  2. Step 2: Convert to fraction form
    31,439.58/47,161.05 = 8,066.22/x
  3. Step 3: Cross multiply
    31,439.58x = 47,161.05 × 8,066.22
  4. Step 4: Simplify right side
    31,439.58x = 380,411,404.73
  5. Step 5: Solve for x
    x = 380,411,404.73/31,439.58
  6. Step 6: Final answer
    x = 12,099.76

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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.