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Finding the Fourth Proportional to 33,162.64, 49,738.44 and 9,783.52

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Solution

The fourth proportional to 33,162.64, 49,738.44 and 9,783.52 is: 14,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.64 : 49,738.44 = 9,783.52 : x
  2. Step 2: Convert to fraction form
    33,162.64/49,738.44 = 9,783.52/x
  3. Step 3: Cross multiply
    33,162.64x = 49,738.44 × 9,783.52
  4. Step 4: Simplify right side
    33,162.64x = 486,617,022.51
  5. Step 5: Solve for x
    x = 486,617,022.51/33,162.64
  6. Step 6: Final answer
    x = 14,673.65

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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.