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Finding the Fourth Proportional to 101,377.72, 152,014.66 and 54,019.80

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Solution

The fourth proportional to 101,377.72, 152,014.66 and 54,019.80 is: 81,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,377.72 : 152,014.66 = 54,019.80 : x
  2. Step 2: Convert to fraction form
    101,377.72/152,014.66 = 54,019.80/x
  3. Step 3: Cross multiply
    101,377.72x = 152,014.66 × 54,019.80
  4. Step 4: Simplify right side
    101,377.72x = 8,211,801,530.27
  5. Step 5: Solve for x
    x = 8,211,801,530.27/101,377.72
  6. Step 6: Final answer
    x = 81,002.03

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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.