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Finding the Fourth Proportional to 59,902.88, 82,645.92 and 38,696.48

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Solution

The fourth proportional to 59,902.88, 82,645.92 and 38,696.48 is: 53,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902.88 : 82,645.92 = 38,696.48 : x
  2. Step 2: Convert to fraction form
    59,902.88/82,645.92 = 38,696.48/x
  3. Step 3: Cross multiply
    59,902.88x = 82,645.92 × 38,696.48
  4. Step 4: Simplify right side
    59,902.88x = 3,198,106,190.36
  5. Step 5: Solve for x
    x = 3,198,106,190.36/59,902.88
  6. Step 6: Final answer
    x = 53,388.19

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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.