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Finding the Fourth Proportional to 68,033.42, 93,888.04 and 41,180.78

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Solution

The fourth proportional to 68,033.42, 93,888.04 and 41,180.78 is: 56,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033.42 : 93,888.04 = 41,180.78 : x
  2. Step 2: Convert to fraction form
    68,033.42/93,888.04 = 41,180.78/x
  3. Step 3: Cross multiply
    68,033.42x = 93,888.04 × 41,180.78
  4. Step 4: Simplify right side
    68,033.42x = 3,866,382,147.48
  5. Step 5: Solve for x
    x = 3,866,382,147.48/68,033.42
  6. Step 6: Final answer
    x = 56,830.63

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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.