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Finding the Fourth Proportional to 101,954.54, 152,884.29 and 38,786.42

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Solution

The fourth proportional to 101,954.54, 152,884.29 and 38,786.42 is: 58,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.54 : 152,884.29 = 38,786.42 : x
  2. Step 2: Convert to fraction form
    101,954.54/152,884.29 = 38,786.42/x
  3. Step 3: Cross multiply
    101,954.54x = 152,884.29 × 38,786.42
  4. Step 4: Simplify right side
    101,954.54x = 5,929,834,283.34
  5. Step 5: Solve for x
    x = 5,929,834,283.34/101,954.54
  6. Step 6: Final answer
    x = 58,161.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.