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Finding the Fourth Proportional to 33,407.68, 50,112.48 and 8,784.32

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Solution

The fourth proportional to 33,407.68, 50,112.48 and 8,784.32 is: 13,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407.68 : 50,112.48 = 8,784.32 : x
  2. Step 2: Convert to fraction form
    33,407.68/50,112.48 = 8,784.32/x
  3. Step 3: Cross multiply
    33,407.68x = 50,112.48 × 8,784.32
  4. Step 4: Simplify right side
    33,407.68x = 440,204,060.31
  5. Step 5: Solve for x
    x = 440,204,060.31/33,407.68
  6. Step 6: Final answer
    x = 13,176.73

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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.