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Finding the Fourth Proportional to 31,231.39, 46,835.89 and 9,040.18

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Solution

The fourth proportional to 31,231.39, 46,835.89 and 9,040.18 is: 13,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.39 : 46,835.89 = 9,040.18 : x
  2. Step 2: Convert to fraction form
    31,231.39/46,835.89 = 9,040.18/x
  3. Step 3: Cross multiply
    31,231.39x = 46,835.89 × 9,040.18
  4. Step 4: Simplify right side
    31,231.39x = 423,404,596.68
  5. Step 5: Solve for x
    x = 423,404,596.68/31,231.39
  6. Step 6: Final answer
    x = 13,557.02

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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.