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Finding the Fourth Proportional to 31,930.50, 44,064 and 17,783.35

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Solution

The fourth proportional to 31,930.50, 44,064 and 17,783.35 is: 24,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.50 : 44,064 = 17,783.35 : x
  2. Step 2: Convert to fraction form
    31,930.50/44,064 = 17,783.35/x
  3. Step 3: Cross multiply
    31,930.50x = 44,064 × 17,783.35
  4. Step 4: Simplify right side
    31,930.50x = 783,605,424.24
  5. Step 5: Solve for x
    x = 783,605,424.24/31,930.50
  6. Step 6: Final answer
    x = 24,540.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.