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Finding the Fourth Proportional to 82,634.38, 114,035.38 and 44,908.63

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Solution

The fourth proportional to 82,634.38, 114,035.38 and 44,908.63 is: 61,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,634.38 : 114,035.38 = 44,908.63 : x
  2. Step 2: Convert to fraction form
    82,634.38/114,035.38 = 44,908.63/x
  3. Step 3: Cross multiply
    82,634.38x = 114,035.38 × 44,908.63
  4. Step 4: Simplify right side
    82,634.38x = 5,121,172,289.97
  5. Step 5: Solve for x
    x = 5,121,172,289.97/82,634.38
  6. Step 6: Final answer
    x = 61,973.87

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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.