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Finding the Fourth Proportional to 33,149.53, 49,724.23 and 9,792.37

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Solution

The fourth proportional to 33,149.53, 49,724.23 and 9,792.37 is: 14,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.53 : 49,724.23 = 9,792.37 : x
  2. Step 2: Convert to fraction form
    33,149.53/49,724.23 = 9,792.37/x
  3. Step 3: Cross multiply
    33,149.53x = 49,724.23 × 9,792.37
  4. Step 4: Simplify right side
    33,149.53x = 486,918,058.13
  5. Step 5: Solve for x
    x = 486,918,058.13/33,149.53
  6. Step 6: Final answer
    x = 14,688.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.