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Finding the Fourth Proportional to 27,833.17, 41,749.78 and 6,773.21

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Solution

The fourth proportional to 27,833.17, 41,749.78 and 6,773.21 is: 10,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.17 : 41,749.78 = 6,773.21 : x
  2. Step 2: Convert to fraction form
    27,833.17/41,749.78 = 6,773.21/x
  3. Step 3: Cross multiply
    27,833.17x = 41,749.78 × 6,773.21
  4. Step 4: Simplify right side
    27,833.17x = 282,780,027.39
  5. Step 5: Solve for x
    x = 282,780,027.39/27,833.17
  6. Step 6: Final answer
    x = 10,159.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.