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Finding the Fourth Proportional to 31,818.72, 47,727.90 and 11,042.16

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Solution

The fourth proportional to 31,818.72, 47,727.90 and 11,042.16 is: 16,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.72 : 47,727.90 = 11,042.16 : x
  2. Step 2: Convert to fraction form
    31,818.72/47,727.90 = 11,042.16/x
  3. Step 3: Cross multiply
    31,818.72x = 47,727.90 × 11,042.16
  4. Step 4: Simplify right side
    31,818.72x = 527,019,108.26
  5. Step 5: Solve for x
    x = 527,019,108.26/31,818.72
  6. Step 6: Final answer
    x = 16,563.18

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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.