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Finding the Fourth Proportional to 49,134.37, 67,807.26 and 27,917.23

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Solution

The fourth proportional to 49,134.37, 67,807.26 and 27,917.23 is: 38,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.37 : 67,807.26 = 27,917.23 : x
  2. Step 2: Convert to fraction form
    49,134.37/67,807.26 = 27,917.23/x
  3. Step 3: Cross multiply
    49,134.37x = 67,807.26 × 27,917.23
  4. Step 4: Simplify right side
    49,134.37x = 1,892,990,873.09
  5. Step 5: Solve for x
    x = 1,892,990,873.09/49,134.37
  6. Step 6: Final answer
    x = 38,526.82

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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.