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Finding the Fourth Proportional to 52,035.30, 71,808.12 and 28,161.42

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Solution

The fourth proportional to 52,035.30, 71,808.12 and 28,161.42 is: 38,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.30 : 71,808.12 = 28,161.42 : x
  2. Step 2: Convert to fraction form
    52,035.30/71,808.12 = 28,161.42/x
  3. Step 3: Cross multiply
    52,035.30x = 71,808.12 × 28,161.42
  4. Step 4: Simplify right side
    52,035.30x = 2,022,218,626.73
  5. Step 5: Solve for x
    x = 2,022,218,626.73/52,035.30
  6. Step 6: Final answer
    x = 38,862.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.