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Finding the Fourth Proportional to 109,563.17, 164,369.39 and 34,687.80

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Solution

The fourth proportional to 109,563.17, 164,369.39 and 34,687.80 is: 52,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,563.17 : 164,369.39 = 34,687.80 : x
  2. Step 2: Convert to fraction form
    109,563.17/164,369.39 = 34,687.80/x
  3. Step 3: Cross multiply
    109,563.17x = 164,369.39 × 34,687.80
  4. Step 4: Simplify right side
    109,563.17x = 5,701,612,353.00
  5. Step 5: Solve for x
    x = 5,701,612,353.00/109,563.17
  6. Step 6: Final answer
    x = 52,039.50

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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.