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Finding the Fourth Proportional to 71,674.74, 98,914.50 and 39,844.14

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Solution

The fourth proportional to 71,674.74, 98,914.50 and 39,844.14 is: 54,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.74 : 98,914.50 = 39,844.14 : x
  2. Step 2: Convert to fraction form
    71,674.74/98,914.50 = 39,844.14/x
  3. Step 3: Cross multiply
    71,674.74x = 98,914.50 × 39,844.14
  4. Step 4: Simplify right side
    71,674.74x = 3,941,163,186.03
  5. Step 5: Solve for x
    x = 3,941,163,186.03/71,674.74
  6. Step 6: Final answer
    x = 54,986.78

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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.