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Finding the Fourth Proportional to 49,191, 67,886.76 and 27,972.24

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Solution

The fourth proportional to 49,191, 67,886.76 and 27,972.24 is: 38,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191 : 67,886.76 = 27,972.24 : x
  2. Step 2: Convert to fraction form
    49,191/67,886.76 = 27,972.24/x
  3. Step 3: Cross multiply
    49,191x = 67,886.76 × 27,972.24
  4. Step 4: Simplify right side
    49,191x = 1,898,944,743.54
  5. Step 5: Solve for x
    x = 1,898,944,743.54/49,191
  6. Step 6: Final answer
    x = 38,603.50

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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.