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Finding the Fourth Proportional to 50,872.54, 70,202.78 and 28,211.48

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Solution

The fourth proportional to 50,872.54, 70,202.78 and 28,211.48 is: 38,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,872.54 : 70,202.78 = 28,211.48 : x
  2. Step 2: Convert to fraction form
    50,872.54/70,202.78 = 28,211.48/x
  3. Step 3: Cross multiply
    50,872.54x = 70,202.78 × 28,211.48
  4. Step 4: Simplify right side
    50,872.54x = 1,980,524,323.91
  5. Step 5: Solve for x
    x = 1,980,524,323.91/50,872.54
  6. Step 6: Final answer
    x = 38,931.11

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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.