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Finding the Fourth Proportional to 54,304.50, 74,914.86 and 34,172.48

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Solution

The fourth proportional to 54,304.50, 74,914.86 and 34,172.48 is: 47,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,304.50 : 74,914.86 = 34,172.48 : x
  2. Step 2: Convert to fraction form
    54,304.50/74,914.86 = 34,172.48/x
  3. Step 3: Cross multiply
    54,304.50x = 74,914.86 × 34,172.48
  4. Step 4: Simplify right side
    54,304.50x = 2,560,026,555.05
  5. Step 5: Solve for x
    x = 2,560,026,555.05/54,304.50
  6. Step 6: Final answer
    x = 47,142.07

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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.