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Finding the Fourth Proportional to 31,757.13, 47,635.71 and 8,066.45

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Solution

The fourth proportional to 31,757.13, 47,635.71 and 8,066.45 is: 12,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.13 : 47,635.71 = 8,066.45 : x
  2. Step 2: Convert to fraction form
    31,757.13/47,635.71 = 8,066.45/x
  3. Step 3: Cross multiply
    31,757.13x = 47,635.71 × 8,066.45
  4. Step 4: Simplify right side
    31,757.13x = 384,251,207.14
  5. Step 5: Solve for x
    x = 384,251,207.14/31,757.13
  6. Step 6: Final answer
    x = 12,099.68

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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.