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Finding the Fourth Proportional to 68,542.66, 102,816.02 and 18,622.50

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Solution

The fourth proportional to 68,542.66, 102,816.02 and 18,622.50 is: 27,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542.66 : 102,816.02 = 18,622.50 : x
  2. Step 2: Convert to fraction form
    68,542.66/102,816.02 = 18,622.50/x
  3. Step 3: Cross multiply
    68,542.66x = 102,816.02 × 18,622.50
  4. Step 4: Simplify right side
    68,542.66x = 1,914,691,332.45
  5. Step 5: Solve for x
    x = 1,914,691,332.45/68,542.66
  6. Step 6: Final answer
    x = 27,934.30

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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.