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Finding the Fourth Proportional to 45,217.33, 67,812.15 and 31,267

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Solution

The fourth proportional to 45,217.33, 67,812.15 and 31,267 is: 46,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217.33 : 67,812.15 = 31,267 : x
  2. Step 2: Convert to fraction form
    45,217.33/67,812.15 = 31,267/x
  3. Step 3: Cross multiply
    45,217.33x = 67,812.15 × 31,267
  4. Step 4: Simplify right side
    45,217.33x = 2,120,282,494.05
  5. Step 5: Solve for x
    x = 2,120,282,494.05/45,217.33
  6. Step 6: Final answer
    x = 46,890.93

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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.