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Finding the Fourth Proportional to 50,099, 69,136.64 and 27,743

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Solution

The fourth proportional to 50,099, 69,136.64 and 27,743 is: 38,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,099 : 69,136.64 = 27,743 : x
  2. Step 2: Convert to fraction form
    50,099/69,136.64 = 27,743/x
  3. Step 3: Cross multiply
    50,099x = 69,136.64 × 27,743
  4. Step 4: Simplify right side
    50,099x = 1,918,057,803.52
  5. Step 5: Solve for x
    x = 1,918,057,803.52/50,099
  6. Step 6: Final answer
    x = 38,285.35

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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.