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Finding the Fourth Proportional to 109,882.08, 164,823.12 and 39,759.84

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Solution

The fourth proportional to 109,882.08, 164,823.12 and 39,759.84 is: 59,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.08 : 164,823.12 = 39,759.84 : x
  2. Step 2: Convert to fraction form
    109,882.08/164,823.12 = 39,759.84/x
  3. Step 3: Cross multiply
    109,882.08x = 164,823.12 × 39,759.84
  4. Step 4: Simplify right side
    109,882.08x = 6,553,340,879.50
  5. Step 5: Solve for x
    x = 6,553,340,879.50/109,882.08
  6. Step 6: Final answer
    x = 59,639.76

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