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Finding the Fourth Proportional to 73,541.20, 110,311.80 and 51,422.80

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Solution

The fourth proportional to 73,541.20, 110,311.80 and 51,422.80 is: 77,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,541.20 : 110,311.80 = 51,422.80 : x
  2. Step 2: Convert to fraction form
    73,541.20/110,311.80 = 51,422.80/x
  3. Step 3: Cross multiply
    73,541.20x = 110,311.80 × 51,422.80
  4. Step 4: Simplify right side
    73,541.20x = 5,672,541,629.04
  5. Step 5: Solve for x
    x = 5,672,541,629.04/73,541.20
  6. Step 6: Final answer
    x = 77,134.20

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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.