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Finding the Fourth Proportional to 73,142.64, 109,730.39 and 23,224.37

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Solution

The fourth proportional to 73,142.64, 109,730.39 and 23,224.37 is: 34,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.64 : 109,730.39 = 23,224.37 : x
  2. Step 2: Convert to fraction form
    73,142.64/109,730.39 = 23,224.37/x
  3. Step 3: Cross multiply
    73,142.64x = 109,730.39 × 23,224.37
  4. Step 4: Simplify right side
    73,142.64x = 2,548,418,512.83
  5. Step 5: Solve for x
    x = 2,548,418,512.83/73,142.64
  6. Step 6: Final answer
    x = 34,841.76

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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.