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Finding the Fourth Proportional to 54,768.54, 75,574.17 and 30,893.79

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Solution

The fourth proportional to 54,768.54, 75,574.17 and 30,893.79 is: 42,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768.54 : 75,574.17 = 30,893.79 : x
  2. Step 2: Convert to fraction form
    54,768.54/75,574.17 = 30,893.79/x
  3. Step 3: Cross multiply
    54,768.54x = 75,574.17 × 30,893.79
  4. Step 4: Simplify right side
    54,768.54x = 2,334,772,537.40
  5. Step 5: Solve for x
    x = 2,334,772,537.40/54,768.54
  6. Step 6: Final answer
    x = 42,629.81

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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.