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Finding the Fourth Proportional to 38,717.92, 53,435.04 and 21,724.96

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Solution

The fourth proportional to 38,717.92, 53,435.04 and 21,724.96 is: 29,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,717.92 : 53,435.04 = 21,724.96 : x
  2. Step 2: Convert to fraction form
    38,717.92/53,435.04 = 21,724.96/x
  3. Step 3: Cross multiply
    38,717.92x = 53,435.04 × 21,724.96
  4. Step 4: Simplify right side
    38,717.92x = 1,160,874,106.60
  5. Step 5: Solve for x
    x = 1,160,874,106.60/38,717.92
  6. Step 6: Final answer
    x = 29,982.86

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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.