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Finding the Fourth Proportional to 67,874.27, 101,845.31 and 30,461.09

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Solution

The fourth proportional to 67,874.27, 101,845.31 and 30,461.09 is: 45,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.27 : 101,845.31 = 30,461.09 : x
  2. Step 2: Convert to fraction form
    67,874.27/101,845.31 = 30,461.09/x
  3. Step 3: Cross multiply
    67,874.27x = 101,845.31 × 30,461.09
  4. Step 4: Simplify right side
    67,874.27x = 3,102,318,492.46
  5. Step 5: Solve for x
    x = 3,102,318,492.46/67,874.27
  6. Step 6: Final answer
    x = 45,706.84

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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.