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Finding the Fourth Proportional to 73,940.31, 110,829.06 and 34,464.96

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Solution

The fourth proportional to 73,940.31, 110,829.06 and 34,464.96 is: 51,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,940.31 : 110,829.06 = 34,464.96 : x
  2. Step 2: Convert to fraction form
    73,940.31/110,829.06 = 34,464.96/x
  3. Step 3: Cross multiply
    73,940.31x = 110,829.06 × 34,464.96
  4. Step 4: Simplify right side
    73,940.31x = 3,819,719,119.74
  5. Step 5: Solve for x
    x = 3,819,719,119.74/73,940.31
  6. Step 6: Final answer
    x = 51,659.50

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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.