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Finding the Fourth Proportional to 31,796.64, 43,879.68 and 17,650.80

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Solution

The fourth proportional to 31,796.64, 43,879.68 and 17,650.80 is: 24,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.64 : 43,879.68 = 17,650.80 : x
  2. Step 2: Convert to fraction form
    31,796.64/43,879.68 = 17,650.80/x
  3. Step 3: Cross multiply
    31,796.64x = 43,879.68 × 17,650.80
  4. Step 4: Simplify right side
    31,796.64x = 774,511,455.74
  5. Step 5: Solve for x
    x = 774,511,455.74/31,796.64
  6. Step 6: Final answer
    x = 24,358.28

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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.