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Finding the Fourth Proportional to 73,546.74, 110,295.93 and 23,614.98

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Solution

The fourth proportional to 73,546.74, 110,295.93 and 23,614.98 is: 35,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,546.74 : 110,295.93 = 23,614.98 : x
  2. Step 2: Convert to fraction form
    73,546.74/110,295.93 = 23,614.98/x
  3. Step 3: Cross multiply
    73,546.74x = 110,295.93 × 23,614.98
  4. Step 4: Simplify right side
    73,546.74x = 2,604,636,181.03
  5. Step 5: Solve for x
    x = 2,604,636,181.03/73,546.74
  6. Step 6: Final answer
    x = 35,414.71

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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.