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Finding the Fourth Proportional to 37,102, 51,204 and 20,338.24

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Solution

The fourth proportional to 37,102, 51,204 and 20,338.24 is: 28,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102 : 51,204 = 20,338.24 : x
  2. Step 2: Convert to fraction form
    37,102/51,204 = 20,338.24/x
  3. Step 3: Cross multiply
    37,102x = 51,204 × 20,338.24
  4. Step 4: Simplify right side
    37,102x = 1,041,399,240.96
  5. Step 5: Solve for x
    x = 1,041,399,240.96/37,102
  6. Step 6: Final answer
    x = 28,068.55

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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.