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Finding the Fourth Proportional to 57,917.86, 86,786.07 and 46,227.94

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Solution

The fourth proportional to 57,917.86, 86,786.07 and 46,227.94 is: 69,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,917.86 : 86,786.07 = 46,227.94 : x
  2. Step 2: Convert to fraction form
    57,917.86/86,786.07 = 46,227.94/x
  3. Step 3: Cross multiply
    57,917.86x = 86,786.07 × 46,227.94
  4. Step 4: Simplify right side
    57,917.86x = 4,011,941,236.80
  5. Step 5: Solve for x
    x = 4,011,941,236.80/57,917.86
  6. Step 6: Final answer
    x = 69,269.50

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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.