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Finding the Fourth Proportional to 33,878, 50,767.80 and 24,036.50

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Solution

The fourth proportional to 33,878, 50,767.80 and 24,036.50 is: 36,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878 : 50,767.80 = 24,036.50 : x
  2. Step 2: Convert to fraction form
    33,878/50,767.80 = 24,036.50/x
  3. Step 3: Cross multiply
    33,878x = 50,767.80 × 24,036.50
  4. Step 4: Simplify right side
    33,878x = 1,220,280,224.70
  5. Step 5: Solve for x
    x = 1,220,280,224.70/33,878
  6. Step 6: Final answer
    x = 36,019.84

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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.