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Finding the Fourth Proportional to 54,192.88, 74,760.91 and 35,078.80

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Solution

The fourth proportional to 54,192.88, 74,760.91 and 35,078.80 is: 48,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,192.88 : 74,760.91 = 35,078.80 : x
  2. Step 2: Convert to fraction form
    54,192.88/74,760.91 = 35,078.80/x
  3. Step 3: Cross multiply
    54,192.88x = 74,760.91 × 35,078.80
  4. Step 4: Simplify right side
    54,192.88x = 2,622,522,834.31
  5. Step 5: Solve for x
    x = 2,622,522,834.31/54,192.88
  6. Step 6: Final answer
    x = 48,392.39

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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.