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Finding the Fourth Proportional to 52,099.20, 71,896.80 and 28,226.48

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Solution

The fourth proportional to 52,099.20, 71,896.80 and 28,226.48 is: 38,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099.20 : 71,896.80 = 28,226.48 : x
  2. Step 2: Convert to fraction form
    52,099.20/71,896.80 = 28,226.48/x
  3. Step 3: Cross multiply
    52,099.20x = 71,896.80 × 28,226.48
  4. Step 4: Simplify right side
    52,099.20x = 2,029,393,587.26
  5. Step 5: Solve for x
    x = 2,029,393,587.26/52,099.20
  6. Step 6: Final answer
    x = 38,952.49

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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.