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Finding the Fourth Proportional to 30,138.12, 41,578.74 and 18,801

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Solution

The fourth proportional to 30,138.12, 41,578.74 and 18,801 is: 25,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.12 : 41,578.74 = 18,801 : x
  2. Step 2: Convert to fraction form
    30,138.12/41,578.74 = 18,801/x
  3. Step 3: Cross multiply
    30,138.12x = 41,578.74 × 18,801
  4. Step 4: Simplify right side
    30,138.12x = 781,721,890.74
  5. Step 5: Solve for x
    x = 781,721,890.74/30,138.12
  6. Step 6: Final answer
    x = 25,937.98

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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.