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Finding the Fourth Proportional to 109,854.28, 164,773.05 and 34,976.80

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Solution

The fourth proportional to 109,854.28, 164,773.05 and 34,976.80 is: 52,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854.28 : 164,773.05 = 34,976.80 : x
  2. Step 2: Convert to fraction form
    109,854.28/164,773.05 = 34,976.80/x
  3. Step 3: Cross multiply
    109,854.28x = 164,773.05 × 34,976.80
  4. Step 4: Simplify right side
    109,854.28x = 5,763,234,015.24
  5. Step 5: Solve for x
    x = 5,763,234,015.24/109,854.28
  6. Step 6: Final answer
    x = 52,462.54

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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.