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Finding the Fourth Proportional to 96,523.86, 144,750.24 and 33,327.84

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Solution

The fourth proportional to 96,523.86, 144,750.24 and 33,327.84 is: 49,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,523.86 : 144,750.24 = 33,327.84 : x
  2. Step 2: Convert to fraction form
    96,523.86/144,750.24 = 33,327.84/x
  3. Step 3: Cross multiply
    96,523.86x = 144,750.24 × 33,327.84
  4. Step 4: Simplify right side
    96,523.86x = 4,824,212,838.68
  5. Step 5: Solve for x
    x = 4,824,212,838.68/96,523.86
  6. Step 6: Final answer
    x = 49,979.49

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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.