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Finding the Fourth Proportional to 38,513.97, 53,144.01 and 21,516.12

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Solution

The fourth proportional to 38,513.97, 53,144.01 and 21,516.12 is: 29,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.97 : 53,144.01 = 21,516.12 : x
  2. Step 2: Convert to fraction form
    38,513.97/53,144.01 = 21,516.12/x
  3. Step 3: Cross multiply
    38,513.97x = 53,144.01 × 21,516.12
  4. Step 4: Simplify right side
    38,513.97x = 1,143,452,896.44
  5. Step 5: Solve for x
    x = 1,143,452,896.44/38,513.97
  6. Step 6: Final answer
    x = 29,689.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.