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Finding the Fourth Proportional to 47,081.56, 70,622.34 and 15,916

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Solution

The fourth proportional to 47,081.56, 70,622.34 and 15,916 is: 23,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,081.56 : 70,622.34 = 15,916 : x
  2. Step 2: Convert to fraction form
    47,081.56/70,622.34 = 15,916/x
  3. Step 3: Cross multiply
    47,081.56x = 70,622.34 × 15,916
  4. Step 4: Simplify right side
    47,081.56x = 1,124,025,163.44
  5. Step 5: Solve for x
    x = 1,124,025,163.44/47,081.56
  6. Step 6: Final answer
    x = 23,874.00

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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.