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Finding the Fourth Proportional to 50,164, 75,223.20 and 23,900.48

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Solution

The fourth proportional to 50,164, 75,223.20 and 23,900.48 is: 35,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,164 : 75,223.20 = 23,900.48 : x
  2. Step 2: Convert to fraction form
    50,164/75,223.20 = 23,900.48/x
  3. Step 3: Cross multiply
    50,164x = 75,223.20 × 23,900.48
  4. Step 4: Simplify right side
    50,164x = 1,797,870,587.14
  5. Step 5: Solve for x
    x = 1,797,870,587.14/50,164
  6. Step 6: Final answer
    x = 35,839.86

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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.