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Finding the Fourth Proportional to 49,331, 68,078.40 and 26,975

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Solution

The fourth proportional to 49,331, 68,078.40 and 26,975 is: 37,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,331 : 68,078.40 = 26,975 : x
  2. Step 2: Convert to fraction form
    49,331/68,078.40 = 26,975/x
  3. Step 3: Cross multiply
    49,331x = 68,078.40 × 26,975
  4. Step 4: Simplify right side
    49,331x = 1,836,414,840.00
  5. Step 5: Solve for x
    x = 1,836,414,840.00/49,331
  6. Step 6: Final answer
    x = 37,226.39

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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.