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Finding the Fourth Proportional to 73,350, 110,039.14 and 31,229.30

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Solution

The fourth proportional to 73,350, 110,039.14 and 31,229.30 is: 46,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,350 : 110,039.14 = 31,229.30 : x
  2. Step 2: Convert to fraction form
    73,350/110,039.14 = 31,229.30/x
  3. Step 3: Cross multiply
    73,350x = 110,039.14 × 31,229.30
  4. Step 4: Simplify right side
    73,350x = 3,436,445,314.80
  5. Step 5: Solve for x
    x = 3,436,445,314.80/73,350
  6. Step 6: Final answer
    x = 46,849.97

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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.