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Finding the Fourth Proportional to 54,120.27, 74,718.27 and 33,994.38

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Solution

The fourth proportional to 54,120.27, 74,718.27 and 33,994.38 is: 46,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,120.27 : 74,718.27 = 33,994.38 : x
  2. Step 2: Convert to fraction form
    54,120.27/74,718.27 = 33,994.38/x
  3. Step 3: Cross multiply
    54,120.27x = 74,718.27 × 33,994.38
  4. Step 4: Simplify right side
    54,120.27x = 2,540,001,263.32
  5. Step 5: Solve for x
    x = 2,540,001,263.32/54,120.27
  6. Step 6: Final answer
    x = 46,932.53

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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.