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Finding the Fourth Proportional to 50,100, 75,084.39 and 27,923.82

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Solution

The fourth proportional to 50,100, 75,084.39 and 27,923.82 is: 41,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 75,084.39 = 27,923.82 : x
  2. Step 2: Convert to fraction form
    50,100/75,084.39 = 27,923.82/x
  3. Step 3: Cross multiply
    50,100x = 75,084.39 × 27,923.82
  4. Step 4: Simplify right side
    50,100x = 2,096,642,991.17
  5. Step 5: Solve for x
    x = 2,096,642,991.17/50,100
  6. Step 6: Final answer
    x = 41,849.16

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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.