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Finding the Fourth Proportional to 31,352.96, 47,033.84 and 9,168

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Solution

The fourth proportional to 31,352.96, 47,033.84 and 9,168 is: 13,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.96 : 47,033.84 = 9,168 : x
  2. Step 2: Convert to fraction form
    31,352.96/47,033.84 = 9,168/x
  3. Step 3: Cross multiply
    31,352.96x = 47,033.84 × 9,168
  4. Step 4: Simplify right side
    31,352.96x = 431,206,268.04
  5. Step 5: Solve for x
    x = 431,206,268.04/31,352.96
  6. Step 6: Final answer
    x = 13,753.29

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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.