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Finding the Fourth Proportional to 37,420.54, 51,640.84 and 22,107.60

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Solution

The fourth proportional to 37,420.54, 51,640.84 and 22,107.60 is: 30,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,420.54 : 51,640.84 = 22,107.60 : x
  2. Step 2: Convert to fraction form
    37,420.54/51,640.84 = 22,107.60/x
  3. Step 3: Cross multiply
    37,420.54x = 51,640.84 × 22,107.60
  4. Step 4: Simplify right side
    37,420.54x = 1,141,655,034.38
  5. Step 5: Solve for x
    x = 1,141,655,034.38/37,420.54
  6. Step 6: Final answer
    x = 30,508.78

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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.