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Finding the Fourth Proportional to 53,595, 73,961.10 and 31,243.32

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Solution

The fourth proportional to 53,595, 73,961.10 and 31,243.32 is: 43,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,595 : 73,961.10 = 31,243.32 : x
  2. Step 2: Convert to fraction form
    53,595/73,961.10 = 31,243.32/x
  3. Step 3: Cross multiply
    53,595x = 73,961.10 × 31,243.32
  4. Step 4: Simplify right side
    53,595x = 2,310,790,314.85
  5. Step 5: Solve for x
    x = 2,310,790,314.85/53,595
  6. Step 6: Final answer
    x = 43,115.78

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1.5x scale

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.