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Finding the Fourth Proportional to 50,868.50, 70,198.16 and 28,207.48

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Solution

The fourth proportional to 50,868.50, 70,198.16 and 28,207.48 is: 38,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,868.50 : 70,198.16 = 28,207.48 : x
  2. Step 2: Convert to fraction form
    50,868.50/70,198.16 = 28,207.48/x
  3. Step 3: Cross multiply
    50,868.50x = 70,198.16 × 28,207.48
  4. Step 4: Simplify right side
    50,868.50x = 1,980,113,194.24
  5. Step 5: Solve for x
    x = 1,980,113,194.24/50,868.50
  6. Step 6: Final answer
    x = 38,926.12

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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.