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Finding the Fourth Proportional to 52,015.50, 71,781.53 and 28,142.37

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Solution

The fourth proportional to 52,015.50, 71,781.53 and 28,142.37 is: 38,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.50 : 71,781.53 = 28,142.37 : x
  2. Step 2: Convert to fraction form
    52,015.50/71,781.53 = 28,142.37/x
  3. Step 3: Cross multiply
    52,015.50x = 71,781.53 × 28,142.37
  4. Step 4: Simplify right side
    52,015.50x = 2,020,102,235.71
  5. Step 5: Solve for x
    x = 2,020,102,235.71/52,015.50
  6. Step 6: Final answer
    x = 38,836.54

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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.