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Finding the Fourth Proportional to 67,378.26, 101,053.22 and 19,993.80

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Solution

The fourth proportional to 67,378.26, 101,053.22 and 19,993.80 is: 29,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,378.26 : 101,053.22 = 19,993.80 : x
  2. Step 2: Convert to fraction form
    67,378.26/101,053.22 = 19,993.80/x
  3. Step 3: Cross multiply
    67,378.26x = 101,053.22 × 19,993.80
  4. Step 4: Simplify right side
    67,378.26x = 2,020,437,870.04
  5. Step 5: Solve for x
    x = 2,020,437,870.04/67,378.26
  6. Step 6: Final answer
    x = 29,986.50

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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.