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Finding the Fourth Proportional to 31,194.65, 46,778.07 and 9,002.75

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Solution

The fourth proportional to 31,194.65, 46,778.07 and 9,002.75 is: 13,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.65 : 46,778.07 = 9,002.75 : x
  2. Step 2: Convert to fraction form
    31,194.65/46,778.07 = 9,002.75/x
  3. Step 3: Cross multiply
    31,194.65x = 46,778.07 × 9,002.75
  4. Step 4: Simplify right side
    31,194.65x = 421,131,269.69
  5. Step 5: Solve for x
    x = 421,131,269.69/31,194.65
  6. Step 6: Final answer
    x = 13,500.11

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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.