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Finding the Fourth Proportional to 54,064.37, 74,604.39 and 31,396.16

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Solution

The fourth proportional to 54,064.37, 74,604.39 and 31,396.16 is: 43,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,064.37 : 74,604.39 = 31,396.16 : x
  2. Step 2: Convert to fraction form
    54,064.37/74,604.39 = 31,396.16/x
  3. Step 3: Cross multiply
    54,064.37x = 74,604.39 × 31,396.16
  4. Step 4: Simplify right side
    54,064.37x = 2,342,291,365.14
  5. Step 5: Solve for x
    x = 2,342,291,365.14/54,064.37
  6. Step 6: Final answer
    x = 43,324.12

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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.