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Finding the Fourth Proportional to 101,568.24, 152,310.24 and 38,377.44

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Solution

The fourth proportional to 101,568.24, 152,310.24 and 38,377.44 is: 57,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,568.24 : 152,310.24 = 38,377.44 : x
  2. Step 2: Convert to fraction form
    101,568.24/152,310.24 = 38,377.44/x
  3. Step 3: Cross multiply
    101,568.24x = 152,310.24 × 38,377.44
  4. Step 4: Simplify right side
    101,568.24x = 5,845,277,096.99
  5. Step 5: Solve for x
    x = 5,845,277,096.99/101,568.24
  6. Step 6: Final answer
    x = 57,550.25

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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.