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Finding the Fourth Proportional to 96,697.56, 145,049.99 and 30,137.43

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Solution

The fourth proportional to 96,697.56, 145,049.99 and 30,137.43 is: 45,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,697.56 : 145,049.99 = 30,137.43 : x
  2. Step 2: Convert to fraction form
    96,697.56/145,049.99 = 30,137.43/x
  3. Step 3: Cross multiply
    96,697.56x = 145,049.99 × 30,137.43
  4. Step 4: Simplify right side
    96,697.56x = 4,371,433,920.13
  5. Step 5: Solve for x
    x = 4,371,433,920.13/96,697.56
  6. Step 6: Final answer
    x = 45,207.28

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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.