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Finding the Fourth Proportional to 31,355.97, 47,038.35 and 9,171

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Solution

The fourth proportional to 31,355.97, 47,038.35 and 9,171 is: 13,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,355.97 : 47,038.35 = 9,171 : x
  2. Step 2: Convert to fraction form
    31,355.97/47,038.35 = 9,171/x
  3. Step 3: Cross multiply
    31,355.97x = 47,038.35 × 9,171
  4. Step 4: Simplify right side
    31,355.97x = 431,388,707.85
  5. Step 5: Solve for x
    x = 431,388,707.85/31,355.97
  6. Step 6: Final answer
    x = 13,757.79

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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.