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Finding the Fourth Proportional to 75,455.40, 113,183.10 and 31,067.40

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Solution

The fourth proportional to 75,455.40, 113,183.10 and 31,067.40 is: 46,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455.40 : 113,183.10 = 31,067.40 : x
  2. Step 2: Convert to fraction form
    75,455.40/113,183.10 = 31,067.40/x
  3. Step 3: Cross multiply
    75,455.40x = 113,183.10 × 31,067.40
  4. Step 4: Simplify right side
    75,455.40x = 3,516,304,640.94
  5. Step 5: Solve for x
    x = 3,516,304,640.94/75,455.40
  6. Step 6: Final answer
    x = 46,601.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.