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Finding the Fourth Proportional to 49,157.06, 67,842.51 and 27,939.51

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Solution

The fourth proportional to 49,157.06, 67,842.51 and 27,939.51 is: 38,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,157.06 : 67,842.51 = 27,939.51 : x
  2. Step 2: Convert to fraction form
    49,157.06/67,842.51 = 27,939.51/x
  3. Step 3: Cross multiply
    49,157.06x = 67,842.51 × 27,939.51
  4. Step 4: Simplify right side
    49,157.06x = 1,895,486,381.80
  5. Step 5: Solve for x
    x = 1,895,486,381.80/49,157.06
  6. Step 6: Final answer
    x = 38,559.80

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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.