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Finding the Fourth Proportional to 70,545.75, 105,853.22 and 33,108.86

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Solution

The fourth proportional to 70,545.75, 105,853.22 and 33,108.86 is: 49,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,545.75 : 105,853.22 = 33,108.86 : x
  2. Step 2: Convert to fraction form
    70,545.75/105,853.22 = 33,108.86/x
  3. Step 3: Cross multiply
    70,545.75x = 105,853.22 × 33,108.86
  4. Step 4: Simplify right side
    70,545.75x = 3,504,679,788.93
  5. Step 5: Solve for x
    x = 3,504,679,788.93/70,545.75
  6. Step 6: Final answer
    x = 49,679.53

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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.