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Finding the Fourth Proportional to 33,155.97, 49,735.32 and 9,782.41

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Solution

The fourth proportional to 33,155.97, 49,735.32 and 9,782.41 is: 14,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.97 : 49,735.32 = 9,782.41 : x
  2. Step 2: Convert to fraction form
    33,155.97/49,735.32 = 9,782.41/x
  3. Step 3: Cross multiply
    33,155.97x = 49,735.32 × 9,782.41
  4. Step 4: Simplify right side
    33,155.97x = 486,531,291.72
  5. Step 5: Solve for x
    x = 486,531,291.72/33,155.97
  6. Step 6: Final answer
    x = 14,674.02

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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.