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Finding the Fourth Proportional to 31,549.44, 47,319.12 and 18,906.24

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Solution

The fourth proportional to 31,549.44, 47,319.12 and 18,906.24 is: 28,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.44 : 47,319.12 = 18,906.24 : x
  2. Step 2: Convert to fraction form
    31,549.44/47,319.12 = 18,906.24/x
  3. Step 3: Cross multiply
    31,549.44x = 47,319.12 × 18,906.24
  4. Step 4: Simplify right side
    31,549.44x = 894,626,639.31
  5. Step 5: Solve for x
    x = 894,626,639.31/31,549.44
  6. Step 6: Final answer
    x = 28,356.34

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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.