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Finding the Fourth Proportional to 35,878.90, 49,530.82 and 27,794.56

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Solution

The fourth proportional to 35,878.90, 49,530.82 and 27,794.56 is: 38,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.90 : 49,530.82 = 27,794.56 : x
  2. Step 2: Convert to fraction form
    35,878.90/49,530.82 = 27,794.56/x
  3. Step 3: Cross multiply
    35,878.90x = 49,530.82 × 27,794.56
  4. Step 4: Simplify right side
    35,878.90x = 1,376,687,348.34
  5. Step 5: Solve for x
    x = 1,376,687,348.34/35,878.90
  6. Step 6: Final answer
    x = 38,370.39

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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.