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Finding the Fourth Proportional to 71,191.97, 106,804.15 and 37,894.49

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Solution

The fourth proportional to 71,191.97, 106,804.15 and 37,894.49 is: 56,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,191.97 : 106,804.15 = 37,894.49 : x
  2. Step 2: Convert to fraction form
    71,191.97/106,804.15 = 37,894.49/x
  3. Step 3: Cross multiply
    71,191.97x = 106,804.15 × 37,894.49
  4. Step 4: Simplify right side
    71,191.97x = 4,047,288,794.13
  5. Step 5: Solve for x
    x = 4,047,288,794.13/71,191.97
  6. Step 6: Final answer
    x = 56,850.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.