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Finding the Fourth Proportional to 38,243.10, 57,342.38 and 14,842.20

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Solution

The fourth proportional to 38,243.10, 57,342.38 and 14,842.20 is: 22,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243.10 : 57,342.38 = 14,842.20 : x
  2. Step 2: Convert to fraction form
    38,243.10/57,342.38 = 14,842.20/x
  3. Step 3: Cross multiply
    38,243.10x = 57,342.38 × 14,842.20
  4. Step 4: Simplify right side
    38,243.10x = 851,086,998.23
  5. Step 5: Solve for x
    x = 851,086,998.23/38,243.10
  6. Step 6: Final answer
    x = 22,254.66

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