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Finding the Fourth Proportional to 49,406.15, 68,163.44 and 27,893.21

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Solution

The fourth proportional to 49,406.15, 68,163.44 and 27,893.21 is: 38,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,406.15 : 68,163.44 = 27,893.21 : x
  2. Step 2: Convert to fraction form
    49,406.15/68,163.44 = 27,893.21/x
  3. Step 3: Cross multiply
    49,406.15x = 68,163.44 × 27,893.21
  4. Step 4: Simplify right side
    49,406.15x = 1,901,296,875.16
  5. Step 5: Solve for x
    x = 1,901,296,875.16/49,406.15
  6. Step 6: Final answer
    x = 38,483.00

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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.