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Finding the Fourth Proportional to 51,589.98, 71,209.38 and 33,687.78

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Solution

The fourth proportional to 51,589.98, 71,209.38 and 33,687.78 is: 46,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,589.98 : 71,209.38 = 33,687.78 : x
  2. Step 2: Convert to fraction form
    51,589.98/71,209.38 = 33,687.78/x
  3. Step 3: Cross multiply
    51,589.98x = 71,209.38 × 33,687.78
  4. Step 4: Simplify right side
    51,589.98x = 2,398,885,927.38
  5. Step 5: Solve for x
    x = 2,398,885,927.38/51,589.98
  6. Step 6: Final answer
    x = 46,499.07

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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.