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Finding the Fourth Proportional to 67,015.09, 100,493.10 and 31,486.50

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Solution

The fourth proportional to 67,015.09, 100,493.10 and 31,486.50 is: 47,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,015.09 : 100,493.10 = 31,486.50 : x
  2. Step 2: Convert to fraction form
    67,015.09/100,493.10 = 31,486.50/x
  3. Step 3: Cross multiply
    67,015.09x = 100,493.10 × 31,486.50
  4. Step 4: Simplify right side
    67,015.09x = 3,164,175,993.15
  5. Step 5: Solve for x
    x = 3,164,175,993.15/67,015.09
  6. Step 6: Final answer
    x = 47,215.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.