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Finding the Fourth Proportional to 52,036.82, 71,811.02 and 28,163.49

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Solution

The fourth proportional to 52,036.82, 71,811.02 and 28,163.49 is: 38,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036.82 : 71,811.02 = 28,163.49 : x
  2. Step 2: Convert to fraction form
    52,036.82/71,811.02 = 28,163.49/x
  3. Step 3: Cross multiply
    52,036.82x = 71,811.02 × 28,163.49
  4. Step 4: Simplify right side
    52,036.82x = 2,022,448,943.66
  5. Step 5: Solve for x
    x = 2,022,448,943.66/52,036.82
  6. Step 6: Final answer
    x = 38,865.73

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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.