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Finding the Fourth Proportional to 31,735.08, 47,607.48 and 8,363.34

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Solution

The fourth proportional to 31,735.08, 47,607.48 and 8,363.34 is: 12,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.08 : 47,607.48 = 8,363.34 : x
  2. Step 2: Convert to fraction form
    31,735.08/47,607.48 = 8,363.34/x
  3. Step 3: Cross multiply
    31,735.08x = 47,607.48 × 8,363.34
  4. Step 4: Simplify right side
    31,735.08x = 398,157,541.78
  5. Step 5: Solve for x
    x = 398,157,541.78/31,735.08
  6. Step 6: Final answer
    x = 12,546.29

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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.