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Finding the Fourth Proportional to 67,489.84, 101,232.24 and 20,741.50

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Solution

The fourth proportional to 67,489.84, 101,232.24 and 20,741.50 is: 31,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,489.84 : 101,232.24 = 20,741.50 : x
  2. Step 2: Convert to fraction form
    67,489.84/101,232.24 = 20,741.50/x
  3. Step 3: Cross multiply
    67,489.84x = 101,232.24 × 20,741.50
  4. Step 4: Simplify right side
    67,489.84x = 2,099,708,505.96
  5. Step 5: Solve for x
    x = 2,099,708,505.96/67,489.84
  6. Step 6: Final answer
    x = 31,111.48

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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.