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Finding the Fourth Proportional to 101,744.54, 152,596.02 and 38,542.87

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Solution

The fourth proportional to 101,744.54, 152,596.02 and 38,542.87 is: 57,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744.54 : 152,596.02 = 38,542.87 : x
  2. Step 2: Convert to fraction form
    101,744.54/152,596.02 = 38,542.87/x
  3. Step 3: Cross multiply
    101,744.54x = 152,596.02 × 38,542.87
  4. Step 4: Simplify right side
    101,744.54x = 5,881,488,418.81
  5. Step 5: Solve for x
    x = 5,881,488,418.81/101,744.54
  6. Step 6: Final answer
    x = 57,806.43

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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.