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Finding the Fourth Proportional to 73,876.40, 110,832.12 and 23,956.50

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Solution

The fourth proportional to 73,876.40, 110,832.12 and 23,956.50 is: 35,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.40 : 110,832.12 = 23,956.50 : x
  2. Step 2: Convert to fraction form
    73,876.40/110,832.12 = 23,956.50/x
  3. Step 3: Cross multiply
    73,876.40x = 110,832.12 × 23,956.50
  4. Step 4: Simplify right side
    73,876.40x = 2,655,149,682.78
  5. Step 5: Solve for x
    x = 2,655,149,682.78/73,876.40
  6. Step 6: Final answer
    x = 35,940.43

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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.