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Finding the Fourth Proportional to 52,198.16, 72,033.65 and 28,324.83

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Solution

The fourth proportional to 52,198.16, 72,033.65 and 28,324.83 is: 39,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,198.16 : 72,033.65 = 28,324.83 : x
  2. Step 2: Convert to fraction form
    52,198.16/72,033.65 = 28,324.83/x
  3. Step 3: Cross multiply
    52,198.16x = 72,033.65 × 28,324.83
  4. Step 4: Simplify right side
    52,198.16x = 2,040,341,081.98
  5. Step 5: Solve for x
    x = 2,040,341,081.98/52,198.16
  6. Step 6: Final answer
    x = 39,088.37

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