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Finding the Fourth Proportional to 54,361.91, 75,020.24 and 31,700.27

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Solution

The fourth proportional to 54,361.91, 75,020.24 and 31,700.27 is: 43,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,361.91 : 75,020.24 = 31,700.27 : x
  2. Step 2: Convert to fraction form
    54,361.91/75,020.24 = 31,700.27/x
  3. Step 3: Cross multiply
    54,361.91x = 75,020.24 × 31,700.27
  4. Step 4: Simplify right side
    54,361.91x = 2,378,161,863.46
  5. Step 5: Solve for x
    x = 2,378,161,863.46/54,361.91
  6. Step 6: Final answer
    x = 43,746.84

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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.