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Finding the Fourth Proportional to 33,101.60, 49,652.42 and 9,744.44

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Solution

The fourth proportional to 33,101.60, 49,652.42 and 9,744.44 is: 14,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.60 : 49,652.42 = 9,744.44 : x
  2. Step 2: Convert to fraction form
    33,101.60/49,652.42 = 9,744.44/x
  3. Step 3: Cross multiply
    33,101.60x = 49,652.42 × 9,744.44
  4. Step 4: Simplify right side
    33,101.60x = 483,834,730.56
  5. Step 5: Solve for x
    x = 483,834,730.56/33,101.60
  6. Step 6: Final answer
    x = 14,616.66

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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.