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Finding the Fourth Proportional to 31,859.56, 47,798.94 and 11,083

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Solution

The fourth proportional to 31,859.56, 47,798.94 and 11,083 is: 16,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.56 : 47,798.94 = 11,083 : x
  2. Step 2: Convert to fraction form
    31,859.56/47,798.94 = 11,083/x
  3. Step 3: Cross multiply
    31,859.56x = 47,798.94 × 11,083
  4. Step 4: Simplify right side
    31,859.56x = 529,755,652.02
  5. Step 5: Solve for x
    x = 529,755,652.02/31,859.56
  6. Step 6: Final answer
    x = 16,627.84

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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.