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Finding the Fourth Proportional to 50,442, 75,635.04 and 23,394.84

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Solution

The fourth proportional to 50,442, 75,635.04 and 23,394.84 is: 35,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442 : 75,635.04 = 23,394.84 : x
  2. Step 2: Convert to fraction form
    50,442/75,635.04 = 23,394.84/x
  3. Step 3: Cross multiply
    50,442x = 75,635.04 × 23,394.84
  4. Step 4: Simplify right side
    50,442x = 1,769,469,659.19
  5. Step 5: Solve for x
    x = 1,769,469,659.19/50,442
  6. Step 6: Final answer
    x = 35,079.29

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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.