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Finding the Fourth Proportional to 50,868, 70,197.84 and 28,512

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Solution

The fourth proportional to 50,868, 70,197.84 and 28,512 is: 39,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,868 : 70,197.84 = 28,512 : x
  2. Step 2: Convert to fraction form
    50,868/70,197.84 = 28,512/x
  3. Step 3: Cross multiply
    50,868x = 70,197.84 × 28,512
  4. Step 4: Simplify right side
    50,868x = 2,001,480,814.08
  5. Step 5: Solve for x
    x = 2,001,480,814.08/50,868
  6. Step 6: Final answer
    x = 39,346.56

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