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Finding the Fourth Proportional to 29,856.31, 41,153.89 and 22,662.79

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Solution

The fourth proportional to 29,856.31, 41,153.89 and 22,662.79 is: 31,238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.31 : 41,153.89 = 22,662.79 : x
  2. Step 2: Convert to fraction form
    29,856.31/41,153.89 = 22,662.79/x
  3. Step 3: Cross multiply
    29,856.31x = 41,153.89 × 22,662.79
  4. Step 4: Simplify right side
    29,856.31x = 932,661,647.67
  5. Step 5: Solve for x
    x = 932,661,647.67/29,856.31
  6. Step 6: Final answer
    x = 31,238.35

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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.