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Finding the Fourth Proportional to 109,489.80, 164,234.70 and 30,603.90

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Solution

The fourth proportional to 109,489.80, 164,234.70 and 30,603.90 is: 45,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,489.80 : 164,234.70 = 30,603.90 : x
  2. Step 2: Convert to fraction form
    109,489.80/164,234.70 = 30,603.90/x
  3. Step 3: Cross multiply
    109,489.80x = 164,234.70 × 30,603.90
  4. Step 4: Simplify right side
    109,489.80x = 5,026,222,335.33
  5. Step 5: Solve for x
    x = 5,026,222,335.33/109,489.80
  6. Step 6: Final answer
    x = 45,905.85

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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.