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Finding the Fourth Proportional to 33,420.78, 46,078.20 and 23,872.10

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Solution

The fourth proportional to 33,420.78, 46,078.20 and 23,872.10 is: 32,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.78 : 46,078.20 = 23,872.10 : x
  2. Step 2: Convert to fraction form
    33,420.78/46,078.20 = 23,872.10/x
  3. Step 3: Cross multiply
    33,420.78x = 46,078.20 × 23,872.10
  4. Step 4: Simplify right side
    33,420.78x = 1,099,983,167.83
  5. Step 5: Solve for x
    x = 1,099,983,167.83/33,420.78
  6. Step 6: Final answer
    x = 32,913.15

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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.