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Finding the Fourth Proportional to 73,722.75, 110,584.13 and 24,474.75

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Solution

The fourth proportional to 73,722.75, 110,584.13 and 24,474.75 is: 36,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722.75 : 110,584.13 = 24,474.75 : x
  2. Step 2: Convert to fraction form
    73,722.75/110,584.13 = 24,474.75/x
  3. Step 3: Cross multiply
    73,722.75x = 110,584.13 × 24,474.75
  4. Step 4: Simplify right side
    73,722.75x = 2,706,518,813.34
  5. Step 5: Solve for x
    x = 2,706,518,813.34/73,722.75
  6. Step 6: Final answer
    x = 36,712.13

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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.