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Finding the Fourth Proportional to 33,156.66, 49,734.96 and 9,781.26

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Solution

The fourth proportional to 33,156.66, 49,734.96 and 9,781.26 is: 14,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.66 : 49,734.96 = 9,781.26 : x
  2. Step 2: Convert to fraction form
    33,156.66/49,734.96 = 9,781.26/x
  3. Step 3: Cross multiply
    33,156.66x = 49,734.96 × 9,781.26
  4. Step 4: Simplify right side
    33,156.66x = 486,470,574.85
  5. Step 5: Solve for x
    x = 486,470,574.85/33,156.66
  6. Step 6: Final answer
    x = 14,671.88

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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.