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Finding the Fourth Proportional to 33,297.50, 49,956.28 and 9,923.94

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Solution

The fourth proportional to 33,297.50, 49,956.28 and 9,923.94 is: 14,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297.50 : 49,956.28 = 9,923.94 : x
  2. Step 2: Convert to fraction form
    33,297.50/49,956.28 = 9,923.94/x
  3. Step 3: Cross multiply
    33,297.50x = 49,956.28 × 9,923.94
  4. Step 4: Simplify right side
    33,297.50x = 495,763,100.53
  5. Step 5: Solve for x
    x = 495,763,100.53/33,297.50
  6. Step 6: Final answer
    x = 14,888.90

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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.