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Finding the Fourth Proportional to 31,274.56, 46,906.98 and 11,548.63

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Solution

The fourth proportional to 31,274.56, 46,906.98 and 11,548.63 is: 17,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.56 : 46,906.98 = 11,548.63 : x
  2. Step 2: Convert to fraction form
    31,274.56/46,906.98 = 11,548.63/x
  3. Step 3: Cross multiply
    31,274.56x = 46,906.98 × 11,548.63
  4. Step 4: Simplify right side
    31,274.56x = 541,711,356.44
  5. Step 5: Solve for x
    x = 541,711,356.44/31,274.56
  6. Step 6: Final answer
    x = 17,321.15

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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.