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Finding the Fourth Proportional to 67,996.32, 101,846.52 and 32,862

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Solution

The fourth proportional to 67,996.32, 101,846.52 and 32,862 is: 49,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,996.32 : 101,846.52 = 32,862 : x
  2. Step 2: Convert to fraction form
    67,996.32/101,846.52 = 32,862/x
  3. Step 3: Cross multiply
    67,996.32x = 101,846.52 × 32,862
  4. Step 4: Simplify right side
    67,996.32x = 3,346,880,340.24
  5. Step 5: Solve for x
    x = 3,346,880,340.24/67,996.32
  6. Step 6: Final answer
    x = 49,221.49

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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.