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Finding the Fourth Proportional to 29,929.92, 41,306.64 and 22,464.96

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Solution

The fourth proportional to 29,929.92, 41,306.64 and 22,464.96 is: 31,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,929.92 : 41,306.64 = 22,464.96 : x
  2. Step 2: Convert to fraction form
    29,929.92/41,306.64 = 22,464.96/x
  3. Step 3: Cross multiply
    29,929.92x = 41,306.64 × 22,464.96
  4. Step 4: Simplify right side
    29,929.92x = 927,952,015.33
  5. Step 5: Solve for x
    x = 927,952,015.33/29,929.92
  6. Step 6: Final answer
    x = 31,004.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.