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Finding the Fourth Proportional to 78,378.80, 108,169.41 and 44,393.33

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Solution

The fourth proportional to 78,378.80, 108,169.41 and 44,393.33 is: 61,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.80 : 108,169.41 = 44,393.33 : x
  2. Step 2: Convert to fraction form
    78,378.80/108,169.41 = 44,393.33/x
  3. Step 3: Cross multiply
    78,378.80x = 108,169.41 × 44,393.33
  4. Step 4: Simplify right side
    78,378.80x = 4,802,000,314.04
  5. Step 5: Solve for x
    x = 4,802,000,314.04/78,378.80
  6. Step 6: Final answer
    x = 61,266.57

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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.