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Finding the Fourth Proportional to 49,164.99, 67,847.72 and 27,944.25

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Solution

The fourth proportional to 49,164.99, 67,847.72 and 27,944.25 is: 38,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.99 : 67,847.72 = 27,944.25 : x
  2. Step 2: Convert to fraction form
    49,164.99/67,847.72 = 27,944.25/x
  3. Step 3: Cross multiply
    49,164.99x = 67,847.72 × 27,944.25
  4. Step 4: Simplify right side
    49,164.99x = 1,895,953,509.89
  5. Step 5: Solve for x
    x = 1,895,953,509.89/49,164.99
  6. Step 6: Final answer
    x = 38,563.08

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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.