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Finding the Fourth Proportional to 73,956.36, 102,059.64 and 40,422.36

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Solution

The fourth proportional to 73,956.36, 102,059.64 and 40,422.36 is: 55,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,956.36 : 102,059.64 = 40,422.36 : x
  2. Step 2: Convert to fraction form
    73,956.36/102,059.64 = 40,422.36/x
  3. Step 3: Cross multiply
    73,956.36x = 102,059.64 × 40,422.36
  4. Step 4: Simplify right side
    73,956.36x = 4,125,491,509.55
  5. Step 5: Solve for x
    x = 4,125,491,509.55/73,956.36
  6. Step 6: Final answer
    x = 55,782.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.