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Finding the Fourth Proportional to 69,721.30, 96,213.38 and 39,516.38

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Solution

The fourth proportional to 69,721.30, 96,213.38 and 39,516.38 is: 54,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,721.30 : 96,213.38 = 39,516.38 : x
  2. Step 2: Convert to fraction form
    69,721.30/96,213.38 = 39,516.38/x
  3. Step 3: Cross multiply
    69,721.30x = 96,213.38 × 39,516.38
  4. Step 4: Simplify right side
    69,721.30x = 3,802,004,102.89
  5. Step 5: Solve for x
    x = 3,802,004,102.89/69,721.30
  6. Step 6: Final answer
    x = 54,531.46

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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.