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Finding the Fourth Proportional to 38,510.91, 53,143.17 and 21,511.78

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Solution

The fourth proportional to 38,510.91, 53,143.17 and 21,511.78 is: 29,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.91 : 53,143.17 = 21,511.78 : x
  2. Step 2: Convert to fraction form
    38,510.91/53,143.17 = 21,511.78/x
  3. Step 3: Cross multiply
    38,510.91x = 53,143.17 × 21,511.78
  4. Step 4: Simplify right side
    38,510.91x = 1,143,204,181.54
  5. Step 5: Solve for x
    x = 1,143,204,181.54/38,510.91
  6. Step 6: Final answer
    x = 29,685.20

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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.