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Finding the Fourth Proportional to 68,025.44, 93,874.50 and 37,810

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Solution

The fourth proportional to 68,025.44, 93,874.50 and 37,810 is: 52,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,025.44 : 93,874.50 = 37,810 : x
  2. Step 2: Convert to fraction form
    68,025.44/93,874.50 = 37,810/x
  3. Step 3: Cross multiply
    68,025.44x = 93,874.50 × 37,810
  4. Step 4: Simplify right side
    68,025.44x = 3,549,394,845
  5. Step 5: Solve for x
    x = 3,549,394,845/68,025.44
  6. Step 6: Final answer
    x = 52,177.46

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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.