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Finding the Fourth Proportional to 67,897.22, 101,698.41 and 41,522

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Solution

The fourth proportional to 67,897.22, 101,698.41 and 41,522 is: 62,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,897.22 : 101,698.41 = 41,522 : x
  2. Step 2: Convert to fraction form
    67,897.22/101,698.41 = 41,522/x
  3. Step 3: Cross multiply
    67,897.22x = 101,698.41 × 41,522
  4. Step 4: Simplify right side
    67,897.22x = 4,222,721,380.02
  5. Step 5: Solve for x
    x = 4,222,721,380.02/67,897.22
  6. Step 6: Final answer
    x = 62,192.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.