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Finding the Fourth Proportional to 50,855.76, 70,185.12 and 28,201.84

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Solution

The fourth proportional to 50,855.76, 70,185.12 and 28,201.84 is: 38,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,855.76 : 70,185.12 = 28,201.84 : x
  2. Step 2: Convert to fraction form
    50,855.76/70,185.12 = 28,201.84/x
  3. Step 3: Cross multiply
    50,855.76x = 70,185.12 × 28,201.84
  4. Step 4: Simplify right side
    50,855.76x = 1,979,349,524.62
  5. Step 5: Solve for x
    x = 1,979,349,524.62/50,855.76
  6. Step 6: Final answer
    x = 38,920.85

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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.