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Finding the Fourth Proportional to 35,773.62, 49,367.82 and 19,858.38

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Solution

The fourth proportional to 35,773.62, 49,367.82 and 19,858.38 is: 27,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,773.62 : 49,367.82 = 19,858.38 : x
  2. Step 2: Convert to fraction form
    35,773.62/49,367.82 = 19,858.38/x
  3. Step 3: Cross multiply
    35,773.62x = 49,367.82 × 19,858.38
  4. Step 4: Simplify right side
    35,773.62x = 980,364,929.33
  5. Step 5: Solve for x
    x = 980,364,929.33/35,773.62
  6. Step 6: Final answer
    x = 27,404.69

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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.