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Finding the Fourth Proportional to 135,624.43, 203,413.43 and 35,785.66

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Solution

The fourth proportional to 135,624.43, 203,413.43 and 35,785.66 is: 53,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,624.43 : 203,413.43 = 35,785.66 : x
  2. Step 2: Convert to fraction form
    135,624.43/203,413.43 = 35,785.66/x
  3. Step 3: Cross multiply
    135,624.43x = 203,413.43 × 35,785.66
  4. Step 4: Simplify right side
    135,624.43x = 7,279,282,649.42
  5. Step 5: Solve for x
    x = 7,279,282,649.42/135,624.43
  6. Step 6: Final answer
    x = 53,672.36

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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.