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Finding the Fourth Proportional to 101,380.57, 152,092.59 and 30,308.77

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Solution

The fourth proportional to 101,380.57, 152,092.59 and 30,308.77 is: 45,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,380.57 : 152,092.59 = 30,308.77 : x
  2. Step 2: Convert to fraction form
    101,380.57/152,092.59 = 30,308.77/x
  3. Step 3: Cross multiply
    101,380.57x = 152,092.59 × 30,308.77
  4. Step 4: Simplify right side
    101,380.57x = 4,609,739,329.01
  5. Step 5: Solve for x
    x = 4,609,739,329.01/101,380.57
  6. Step 6: Final answer
    x = 45,469.65

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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.