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Finding the Fourth Proportional to 31,576.56, 43,591.36 and 19,643.76

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Solution

The fourth proportional to 31,576.56, 43,591.36 and 19,643.76 is: 27,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576.56 : 43,591.36 = 19,643.76 : x
  2. Step 2: Convert to fraction form
    31,576.56/43,591.36 = 19,643.76/x
  3. Step 3: Cross multiply
    31,576.56x = 43,591.36 × 19,643.76
  4. Step 4: Simplify right side
    31,576.56x = 856,298,213.91
  5. Step 5: Solve for x
    x = 856,298,213.91/31,576.56
  6. Step 6: Final answer
    x = 27,118.16

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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.