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Finding the Fourth Proportional to 31,377.96, 47,037.24 and 11,643.12

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Solution

The fourth proportional to 31,377.96, 47,037.24 and 11,643.12 is: 17,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377.96 : 47,037.24 = 11,643.12 : x
  2. Step 2: Convert to fraction form
    31,377.96/47,037.24 = 11,643.12/x
  3. Step 3: Cross multiply
    31,377.96x = 47,037.24 × 11,643.12
  4. Step 4: Simplify right side
    31,377.96x = 547,660,229.79
  5. Step 5: Solve for x
    x = 547,660,229.79/31,377.96
  6. Step 6: Final answer
    x = 17,453.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.