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Finding the Fourth Proportional to 69,953.36, 96,532.82 and 38,121.57

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Solution

The fourth proportional to 69,953.36, 96,532.82 and 38,121.57 is: 52,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,953.36 : 96,532.82 = 38,121.57 : x
  2. Step 2: Convert to fraction form
    69,953.36/96,532.82 = 38,121.57/x
  3. Step 3: Cross multiply
    69,953.36x = 96,532.82 × 38,121.57
  4. Step 4: Simplify right side
    69,953.36x = 3,679,982,969.27
  5. Step 5: Solve for x
    x = 3,679,982,969.27/69,953.36
  6. Step 6: Final answer
    x = 52,606.24

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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.