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Finding the Fourth Proportional to 38,201.92, 52,723.20 and 21,437.44

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Solution

The fourth proportional to 38,201.92, 52,723.20 and 21,437.44 is: 29,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.92 : 52,723.20 = 21,437.44 : x
  2. Step 2: Convert to fraction form
    38,201.92/52,723.20 = 21,437.44/x
  3. Step 3: Cross multiply
    38,201.92x = 52,723.20 × 21,437.44
  4. Step 4: Simplify right side
    38,201.92x = 1,130,250,436.61
  5. Step 5: Solve for x
    x = 1,130,250,436.61/38,201.92
  6. Step 6: Final answer
    x = 29,586.22

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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.