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Finding the Fourth Proportional to 31,777.44, 43,850.88 and 17,629.44

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Solution

The fourth proportional to 31,777.44, 43,850.88 and 17,629.44 is: 24,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.44 : 43,850.88 = 17,629.44 : x
  2. Step 2: Convert to fraction form
    31,777.44/43,850.88 = 17,629.44/x
  3. Step 3: Cross multiply
    31,777.44x = 43,850.88 × 17,629.44
  4. Step 4: Simplify right side
    31,777.44x = 773,066,457.91
  5. Step 5: Solve for x
    x = 773,066,457.91/31,777.44
  6. Step 6: Final answer
    x = 24,327.52

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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.