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Finding the Fourth Proportional to 109,882.98, 164,824.46 and 39,745.89

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Solution

The fourth proportional to 109,882.98, 164,824.46 and 39,745.89 is: 59,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.98 : 164,824.46 = 39,745.89 : x
  2. Step 2: Convert to fraction form
    109,882.98/164,824.46 = 39,745.89/x
  3. Step 3: Cross multiply
    109,882.98x = 164,824.46 × 39,745.89
  4. Step 4: Simplify right side
    109,882.98x = 6,551,094,657.74
  5. Step 5: Solve for x
    x = 6,551,094,657.74/109,882.98
  6. Step 6: Final answer
    x = 59,618.83

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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.