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Finding the Fourth Proportional to 50,874.33, 70,206.78 and 28,215.43

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Solution

The fourth proportional to 50,874.33, 70,206.78 and 28,215.43 is: 38,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.33 : 70,206.78 = 28,215.43 : x
  2. Step 2: Convert to fraction form
    50,874.33/70,206.78 = 28,215.43/x
  3. Step 3: Cross multiply
    50,874.33x = 70,206.78 × 28,215.43
  4. Step 4: Simplify right side
    50,874.33x = 1,980,914,486.62
  5. Step 5: Solve for x
    x = 1,980,914,486.62/50,874.33
  6. Step 6: Final answer
    x = 38,937.41

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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.