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Finding the Fourth Proportional to 31,189.42, 43,037.41 and 17,758.81

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Solution

The fourth proportional to 31,189.42, 43,037.41 and 17,758.81 is: 24,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.42 : 43,037.41 = 17,758.81 : x
  2. Step 2: Convert to fraction form
    31,189.42/43,037.41 = 17,758.81/x
  3. Step 3: Cross multiply
    31,189.42x = 43,037.41 × 17,758.81
  4. Step 4: Simplify right side
    31,189.42x = 764,292,883.10
  5. Step 5: Solve for x
    x = 764,292,883.10/31,189.42
  6. Step 6: Final answer
    x = 24,504.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.