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Finding the Fourth Proportional to 31,586.52, 47,363.22 and 15,774.60

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Solution

The fourth proportional to 31,586.52, 47,363.22 and 15,774.60 is: 23,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.52 : 47,363.22 = 15,774.60 : x
  2. Step 2: Convert to fraction form
    31,586.52/47,363.22 = 15,774.60/x
  3. Step 3: Cross multiply
    31,586.52x = 47,363.22 × 15,774.60
  4. Step 4: Simplify right side
    31,586.52x = 747,135,850.21
  5. Step 5: Solve for x
    x = 747,135,850.21/31,586.52
  6. Step 6: Final answer
    x = 23,653.63

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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.