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Finding the Fourth Proportional to 73,078.98, 109,621.52 and 23,157.97

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Solution

The fourth proportional to 73,078.98, 109,621.52 and 23,157.97 is: 34,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,078.98 : 109,621.52 = 23,157.97 : x
  2. Step 2: Convert to fraction form
    73,078.98/109,621.52 = 23,157.97/x
  3. Step 3: Cross multiply
    73,078.98x = 109,621.52 × 23,157.97
  4. Step 4: Simplify right side
    73,078.98x = 2,538,611,755.72
  5. Step 5: Solve for x
    x = 2,538,611,755.72/73,078.98
  6. Step 6: Final answer
    x = 34,737.92

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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.