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Finding the Fourth Proportional to 54,464.94, 75,129.06 and 34,286.82

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Solution

The fourth proportional to 54,464.94, 75,129.06 and 34,286.82 is: 47,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,464.94 : 75,129.06 = 34,286.82 : x
  2. Step 2: Convert to fraction form
    54,464.94/75,129.06 = 34,286.82/x
  3. Step 3: Cross multiply
    54,464.94x = 75,129.06 × 34,286.82
  4. Step 4: Simplify right side
    54,464.94x = 2,575,936,556.99
  5. Step 5: Solve for x
    x = 2,575,936,556.99/54,464.94
  6. Step 6: Final answer
    x = 47,295.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.