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Finding the Fourth Proportional to 38,723.69, 53,435.61 and 21,724.49

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Solution

The fourth proportional to 38,723.69, 53,435.61 and 21,724.49 is: 29,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,723.69 : 53,435.61 = 21,724.49 : x
  2. Step 2: Convert to fraction form
    38,723.69/53,435.61 = 21,724.49/x
  3. Step 3: Cross multiply
    38,723.69x = 53,435.61 × 21,724.49
  4. Step 4: Simplify right side
    38,723.69x = 1,160,861,107.91
  5. Step 5: Solve for x
    x = 1,160,861,107.91/38,723.69
  6. Step 6: Final answer
    x = 29,978.06

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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.