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Finding the Fourth Proportional to 82,067.76, 122,966.64 and 34,643.88

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Solution

The fourth proportional to 82,067.76, 122,966.64 and 34,643.88 is: 51,908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,067.76 : 122,966.64 = 34,643.88 : x
  2. Step 2: Convert to fraction form
    82,067.76/122,966.64 = 34,643.88/x
  3. Step 3: Cross multiply
    82,067.76x = 122,966.64 × 34,643.88
  4. Step 4: Simplify right side
    82,067.76x = 4,260,041,520.16
  5. Step 5: Solve for x
    x = 4,260,041,520.16/82,067.76
  6. Step 6: Final answer
    x = 51,908.83

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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.