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Finding the Fourth Proportional to 73,000.20, 109,500.30 and 49,499.40

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Solution

The fourth proportional to 73,000.20, 109,500.30 and 49,499.40 is: 74,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000.20 : 109,500.30 = 49,499.40 : x
  2. Step 2: Convert to fraction form
    73,000.20/109,500.30 = 49,499.40/x
  3. Step 3: Cross multiply
    73,000.20x = 109,500.30 × 49,499.40
  4. Step 4: Simplify right side
    73,000.20x = 5,420,199,149.82
  5. Step 5: Solve for x
    x = 5,420,199,149.82/73,000.20
  6. Step 6: Final answer
    x = 74,249.10

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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.