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Finding the Fourth Proportional to 67,408.92, 101,123.91 and 29,982.06

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Solution

The fourth proportional to 67,408.92, 101,123.91 and 29,982.06 is: 44,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,408.92 : 101,123.91 = 29,982.06 : x
  2. Step 2: Convert to fraction form
    67,408.92/101,123.91 = 29,982.06/x
  3. Step 3: Cross multiply
    67,408.92x = 101,123.91 × 29,982.06
  4. Step 4: Simplify right side
    67,408.92x = 3,031,903,137.05
  5. Step 5: Solve for x
    x = 3,031,903,137.05/67,408.92
  6. Step 6: Final answer
    x = 44,977.77

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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.