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Finding the Fourth Proportional to 50,101, 75,163.02 and 17,269

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Solution

The fourth proportional to 50,101, 75,163.02 and 17,269 is: 25,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,101 : 75,163.02 = 17,269 : x
  2. Step 2: Convert to fraction form
    50,101/75,163.02 = 17,269/x
  3. Step 3: Cross multiply
    50,101x = 75,163.02 × 17,269
  4. Step 4: Simplify right side
    50,101x = 1,297,990,192.38
  5. Step 5: Solve for x
    x = 1,297,990,192.38/50,101
  6. Step 6: Final answer
    x = 25,907.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.