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Finding the Fourth Proportional to 50,098, 69,140.28 and 27,742

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Solution

The fourth proportional to 50,098, 69,140.28 and 27,742 is: 38,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098 : 69,140.28 = 27,742 : x
  2. Step 2: Convert to fraction form
    50,098/69,140.28 = 27,742/x
  3. Step 3: Cross multiply
    50,098x = 69,140.28 × 27,742
  4. Step 4: Simplify right side
    50,098x = 1,918,089,647.76
  5. Step 5: Solve for x
    x = 1,918,089,647.76/50,098
  6. Step 6: Final answer
    x = 38,286.75

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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.