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Finding the Fourth Proportional to 101,600.80, 152,408.50 and 35,039.96

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Solution

The fourth proportional to 101,600.80, 152,408.50 and 35,039.96 is: 52,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,600.80 : 152,408.50 = 35,039.96 : x
  2. Step 2: Convert to fraction form
    101,600.80/152,408.50 = 35,039.96/x
  3. Step 3: Cross multiply
    101,600.80x = 152,408.50 × 35,039.96
  4. Step 4: Simplify right side
    101,600.80x = 5,340,387,743.66
  5. Step 5: Solve for x
    x = 5,340,387,743.66/101,600.80
  6. Step 6: Final answer
    x = 52,562.46

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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.