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Finding the Fourth Proportional to 31,067, 46,457.32 and 23,076.80

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Solution

The fourth proportional to 31,067, 46,457.32 and 23,076.80 is: 34,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067 : 46,457.32 = 23,076.80 : x
  2. Step 2: Convert to fraction form
    31,067/46,457.32 = 23,076.80/x
  3. Step 3: Cross multiply
    31,067x = 46,457.32 × 23,076.80
  4. Step 4: Simplify right side
    31,067x = 1,072,086,282.18
  5. Step 5: Solve for x
    x = 1,072,086,282.18/31,067
  6. Step 6: Final answer
    x = 34,508.84

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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.