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Finding the Fourth Proportional to 67,047.49, 100,584.21 and 25,491.25

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Solution

The fourth proportional to 67,047.49, 100,584.21 and 25,491.25 is: 38,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.49 : 100,584.21 = 25,491.25 : x
  2. Step 2: Convert to fraction form
    67,047.49/100,584.21 = 25,491.25/x
  3. Step 3: Cross multiply
    67,047.49x = 100,584.21 × 25,491.25
  4. Step 4: Simplify right side
    67,047.49x = 2,564,017,243.16
  5. Step 5: Solve for x
    x = 2,564,017,243.16/67,047.49
  6. Step 6: Final answer
    x = 38,241.81

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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.