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Finding the Fourth Proportional to 54,326.02, 74,891.42 and 38,144.06

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Solution

The fourth proportional to 54,326.02, 74,891.42 and 38,144.06 is: 52,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,326.02 : 74,891.42 = 38,144.06 : x
  2. Step 2: Convert to fraction form
    54,326.02/74,891.42 = 38,144.06/x
  3. Step 3: Cross multiply
    54,326.02x = 74,891.42 × 38,144.06
  4. Step 4: Simplify right side
    54,326.02x = 2,856,662,817.97
  5. Step 5: Solve for x
    x = 2,856,662,817.97/54,326.02
  6. Step 6: Final answer
    x = 52,583.69

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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.