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Finding the Fourth Proportional to 31,829.46, 47,732.91 and 9,333.88

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Solution

The fourth proportional to 31,829.46, 47,732.91 and 9,333.88 is: 13,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,829.46 : 47,732.91 = 9,333.88 : x
  2. Step 2: Convert to fraction form
    31,829.46/47,732.91 = 9,333.88/x
  3. Step 3: Cross multiply
    31,829.46x = 47,732.91 × 9,333.88
  4. Step 4: Simplify right side
    31,829.46x = 445,533,253.99
  5. Step 5: Solve for x
    x = 445,533,253.99/31,829.46
  6. Step 6: Final answer
    x = 13,997.51

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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.