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Finding the Fourth Proportional to 30,347.78, 41,860.38 and 20,138.58

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Solution

The fourth proportional to 30,347.78, 41,860.38 and 20,138.58 is: 27,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347.78 : 41,860.38 = 20,138.58 : x
  2. Step 2: Convert to fraction form
    30,347.78/41,860.38 = 20,138.58/x
  3. Step 3: Cross multiply
    30,347.78x = 41,860.38 × 20,138.58
  4. Step 4: Simplify right side
    30,347.78x = 843,008,611.46
  5. Step 5: Solve for x
    x = 843,008,611.46/30,347.78
  6. Step 6: Final answer
    x = 27,778.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.