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Finding the Fourth Proportional to 68,076.72, 93,938.67 and 37,857.15

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Solution

The fourth proportional to 68,076.72, 93,938.67 and 37,857.15 is: 52,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076.72 : 93,938.67 = 37,857.15 : x
  2. Step 2: Convert to fraction form
    68,076.72/93,938.67 = 37,857.15/x
  3. Step 3: Cross multiply
    68,076.72x = 93,938.67 × 37,857.15
  4. Step 4: Simplify right side
    68,076.72x = 3,556,250,131.70
  5. Step 5: Solve for x
    x = 3,556,250,131.70/68,076.72
  6. Step 6: Final answer
    x = 52,238.86

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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.