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Finding the Fourth Proportional to 67,402.29, 101,165.49 and 34,145.49

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Solution

The fourth proportional to 67,402.29, 101,165.49 and 34,145.49 is: 51,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,402.29 : 101,165.49 = 34,145.49 : x
  2. Step 2: Convert to fraction form
    67,402.29/101,165.49 = 34,145.49/x
  3. Step 3: Cross multiply
    67,402.29x = 101,165.49 × 34,145.49
  4. Step 4: Simplify right side
    67,402.29x = 3,454,345,227.14
  5. Step 5: Solve for x
    x = 3,454,345,227.14/67,402.29
  6. Step 6: Final answer
    x = 51,249.67

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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.