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Finding the Fourth Proportional to 73,738.56, 110,607.80 and 23,826

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Solution

The fourth proportional to 73,738.56, 110,607.80 and 23,826 is: 35,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,738.56 : 110,607.80 = 23,826 : x
  2. Step 2: Convert to fraction form
    73,738.56/110,607.80 = 23,826/x
  3. Step 3: Cross multiply
    73,738.56x = 110,607.80 × 23,826
  4. Step 4: Simplify right side
    73,738.56x = 2,635,341,442.80
  5. Step 5: Solve for x
    x = 2,635,341,442.80/73,738.56
  6. Step 6: Final answer
    x = 35,738.99

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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.