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Finding the Fourth Proportional to 68,283.68, 102,446.40 and 35,027.24

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Solution

The fourth proportional to 68,283.68, 102,446.40 and 35,027.24 is: 52,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,283.68 : 102,446.40 = 35,027.24 : x
  2. Step 2: Convert to fraction form
    68,283.68/102,446.40 = 35,027.24/x
  3. Step 3: Cross multiply
    68,283.68x = 102,446.40 × 35,027.24
  4. Step 4: Simplify right side
    68,283.68x = 3,588,414,639.94
  5. Step 5: Solve for x
    x = 3,588,414,639.94/68,283.68
  6. Step 6: Final answer
    x = 52,551.57

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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.