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Finding the Fourth Proportional to 37,896.19, 52,296.03 and 20,902.02

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Solution

The fourth proportional to 37,896.19, 52,296.03 and 20,902.02 is: 28,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896.19 : 52,296.03 = 20,902.02 : x
  2. Step 2: Convert to fraction form
    37,896.19/52,296.03 = 20,902.02/x
  3. Step 3: Cross multiply
    37,896.19x = 52,296.03 × 20,902.02
  4. Step 4: Simplify right side
    37,896.19x = 1,093,092,468.87
  5. Step 5: Solve for x
    x = 1,093,092,468.87/37,896.19
  6. Step 6: Final answer
    x = 28,844.39

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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.