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Finding the Fourth Proportional to 50,042, 75,044.18 and 20,444.02

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Solution

The fourth proportional to 50,042, 75,044.18 and 20,444.02 is: 30,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,042 : 75,044.18 = 20,444.02 : x
  2. Step 2: Convert to fraction form
    50,042/75,044.18 = 20,444.02/x
  3. Step 3: Cross multiply
    50,042x = 75,044.18 × 20,444.02
  4. Step 4: Simplify right side
    50,042x = 1,534,204,716.80
  5. Step 5: Solve for x
    x = 1,534,204,716.80/50,042
  6. Step 6: Final answer
    x = 30,658.34

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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.