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Finding the Fourth Proportional to 49,045, 67,682.10 and 29,173

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Solution

The fourth proportional to 49,045, 67,682.10 and 29,173 is: 40,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,045 : 67,682.10 = 29,173 : x
  2. Step 2: Convert to fraction form
    49,045/67,682.10 = 29,173/x
  3. Step 3: Cross multiply
    49,045x = 67,682.10 × 29,173
  4. Step 4: Simplify right side
    49,045x = 1,974,489,903.30
  5. Step 5: Solve for x
    x = 1,974,489,903.30/49,045
  6. Step 6: Final answer
    x = 40,258.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.