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Finding the Fourth Proportional to 50,865.78, 70,195.62 and 28,205.74

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Solution

The fourth proportional to 50,865.78, 70,195.62 and 28,205.74 is: 38,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865.78 : 70,195.62 = 28,205.74 : x
  2. Step 2: Convert to fraction form
    50,865.78/70,195.62 = 28,205.74/x
  3. Step 3: Cross multiply
    50,865.78x = 70,195.62 × 28,205.74
  4. Step 4: Simplify right side
    50,865.78x = 1,979,919,406.86
  5. Step 5: Solve for x
    x = 1,979,919,406.86/50,865.78
  6. Step 6: Final answer
    x = 38,924.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.