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Finding the Fourth Proportional to 31,511.43, 47,250.74 and 9,321.89

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Solution

The fourth proportional to 31,511.43, 47,250.74 and 9,321.89 is: 13,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.43 : 47,250.74 = 9,321.89 : x
  2. Step 2: Convert to fraction form
    31,511.43/47,250.74 = 9,321.89/x
  3. Step 3: Cross multiply
    31,511.43x = 47,250.74 × 9,321.89
  4. Step 4: Simplify right side
    31,511.43x = 440,465,987.75
  5. Step 5: Solve for x
    x = 440,465,987.75/31,511.43
  6. Step 6: Final answer
    x = 13,977.98

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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.