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Finding the Fourth Proportional to 31,144.40, 46,724.34 and 8,959.26

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Solution

The fourth proportional to 31,144.40, 46,724.34 and 8,959.26 is: 13,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.40 : 46,724.34 = 8,959.26 : x
  2. Step 2: Convert to fraction form
    31,144.40/46,724.34 = 8,959.26/x
  3. Step 3: Cross multiply
    31,144.40x = 46,724.34 × 8,959.26
  4. Step 4: Simplify right side
    31,144.40x = 418,615,456.38
  5. Step 5: Solve for x
    x = 418,615,456.38/31,144.40
  6. Step 6: Final answer
    x = 13,441.12

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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.