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Finding the Fourth Proportional to 33,722.19, 50,483.66 and 32,278.77

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Solution

The fourth proportional to 33,722.19, 50,483.66 and 32,278.77 is: 48,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,722.19 : 50,483.66 = 32,278.77 : x
  2. Step 2: Convert to fraction form
    33,722.19/50,483.66 = 32,278.77/x
  3. Step 3: Cross multiply
    33,722.19x = 50,483.66 × 32,278.77
  4. Step 4: Simplify right side
    33,722.19x = 1,629,550,288.50
  5. Step 5: Solve for x
    x = 1,629,550,288.50/33,722.19
  6. Step 6: Final answer
    x = 48,322.79

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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.