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Finding the Fourth Proportional to 73,722.25, 110,583.38 and 24,474.25

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Solution

The fourth proportional to 73,722.25, 110,583.38 and 24,474.25 is: 36,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,722.25 : 110,583.38 = 24,474.25 : x
  2. Step 2: Convert to fraction form
    73,722.25/110,583.38 = 24,474.25/x
  3. Step 3: Cross multiply
    73,722.25x = 110,583.38 × 24,474.25
  4. Step 4: Simplify right side
    73,722.25x = 2,706,445,287.97
  5. Step 5: Solve for x
    x = 2,706,445,287.97/73,722.25
  6. Step 6: Final answer
    x = 36,711.38

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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.