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Finding the Fourth Proportional to 33,182.76, 49,781.34 and 9,811.08

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Solution

The fourth proportional to 33,182.76, 49,781.34 and 9,811.08 is: 14,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.76 : 49,781.34 = 9,811.08 : x
  2. Step 2: Convert to fraction form
    33,182.76/49,781.34 = 9,811.08/x
  3. Step 3: Cross multiply
    33,182.76x = 49,781.34 × 9,811.08
  4. Step 4: Simplify right side
    33,182.76x = 488,408,709.25
  5. Step 5: Solve for x
    x = 488,408,709.25/33,182.76
  6. Step 6: Final answer
    x = 14,718.75

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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.