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Finding the Fourth Proportional to 109,797.91, 164,713.25 and 34,920.50

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Solution

The fourth proportional to 109,797.91, 164,713.25 and 34,920.50 is: 52,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,797.91 : 164,713.25 = 34,920.50 : x
  2. Step 2: Convert to fraction form
    109,797.91/164,713.25 = 34,920.50/x
  3. Step 3: Cross multiply
    109,797.91x = 164,713.25 × 34,920.50
  4. Step 4: Simplify right side
    109,797.91x = 5,751,868,113.93
  5. Step 5: Solve for x
    x = 5,751,868,113.93/109,797.91
  6. Step 6: Final answer
    x = 52,385.95

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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.