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Finding the Fourth Proportional to 33,232.86, 49,849.59 and 9,859.30

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Solution

The fourth proportional to 33,232.86, 49,849.59 and 9,859.30 is: 14,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.86 : 49,849.59 = 9,859.30 : x
  2. Step 2: Convert to fraction form
    33,232.86/49,849.59 = 9,859.30/x
  3. Step 3: Cross multiply
    33,232.86x = 49,849.59 × 9,859.30
  4. Step 4: Simplify right side
    33,232.86x = 491,482,062.69
  5. Step 5: Solve for x
    x = 491,482,062.69/33,232.86
  6. Step 6: Final answer
    x = 14,789.04

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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.