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Finding the Fourth Proportional to 33,964.96, 50,595.47 and 33,406.06

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Solution

The fourth proportional to 33,964.96, 50,595.47 and 33,406.06 is: 49,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,964.96 : 50,595.47 = 33,406.06 : x
  2. Step 2: Convert to fraction form
    33,964.96/50,595.47 = 33,406.06/x
  3. Step 3: Cross multiply
    33,964.96x = 50,595.47 × 33,406.06
  4. Step 4: Simplify right side
    33,964.96x = 1,690,195,200.33
  5. Step 5: Solve for x
    x = 1,690,195,200.33/33,964.96
  6. Step 6: Final answer
    x = 49,762.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.