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Finding the Fourth Proportional to 67,266.84, 100,893.24 and 29,827.56

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Solution

The fourth proportional to 67,266.84, 100,893.24 and 29,827.56 is: 44,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,266.84 : 100,893.24 = 29,827.56 : x
  2. Step 2: Convert to fraction form
    67,266.84/100,893.24 = 29,827.56/x
  3. Step 3: Cross multiply
    67,266.84x = 100,893.24 × 29,827.56
  4. Step 4: Simplify right side
    67,266.84x = 3,009,399,169.69
  5. Step 5: Solve for x
    x = 3,009,399,169.69/67,266.84
  6. Step 6: Final answer
    x = 44,738.23

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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.