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Finding the Fourth Proportional to 35,589.78, 49,116.38 and 19,675.71

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Solution

The fourth proportional to 35,589.78, 49,116.38 and 19,675.71 is: 27,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,589.78 : 49,116.38 = 19,675.71 : x
  2. Step 2: Convert to fraction form
    35,589.78/49,116.38 = 19,675.71/x
  3. Step 3: Cross multiply
    35,589.78x = 49,116.38 × 19,675.71
  4. Step 4: Simplify right side
    35,589.78x = 966,399,550.75
  5. Step 5: Solve for x
    x = 966,399,550.75/35,589.78
  6. Step 6: Final answer
    x = 27,153.85

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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.