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Finding the Fourth Proportional to 49,944, 68,922.72 and 27,588

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Solution

The fourth proportional to 49,944, 68,922.72 and 27,588 is: 38,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,944 : 68,922.72 = 27,588 : x
  2. Step 2: Convert to fraction form
    49,944/68,922.72 = 27,588/x
  3. Step 3: Cross multiply
    49,944x = 68,922.72 × 27,588
  4. Step 4: Simplify right side
    49,944x = 1,901,439,999.36
  5. Step 5: Solve for x
    x = 1,901,439,999.36/49,944
  6. Step 6: Final answer
    x = 38,071.44

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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.