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Finding the Fourth Proportional to 49,442.73, 68,229.50 and 27,933.48

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Solution

The fourth proportional to 49,442.73, 68,229.50 and 27,933.48 is: 38,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442.73 : 68,229.50 = 27,933.48 : x
  2. Step 2: Convert to fraction form
    49,442.73/68,229.50 = 27,933.48/x
  3. Step 3: Cross multiply
    49,442.73x = 68,229.50 × 27,933.48
  4. Step 4: Simplify right side
    49,442.73x = 1,905,887,373.66
  5. Step 5: Solve for x
    x = 1,905,887,373.66/49,442.73
  6. Step 6: Final answer
    x = 38,547.37

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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.