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Finding the Fourth Proportional to 49,083, 67,729.14 and 27,862.44

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Solution

The fourth proportional to 49,083, 67,729.14 and 27,862.44 is: 38,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,083 : 67,729.14 = 27,862.44 : x
  2. Step 2: Convert to fraction form
    49,083/67,729.14 = 27,862.44/x
  3. Step 3: Cross multiply
    49,083x = 67,729.14 × 27,862.44
  4. Step 4: Simplify right side
    49,083x = 1,887,099,099.50
  5. Step 5: Solve for x
    x = 1,887,099,099.50/49,083
  6. Step 6: Final answer
    x = 38,447.10

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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.