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Finding the Fourth Proportional to 31,818.70, 47,728.05 and 16,234.30

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Solution

The fourth proportional to 31,818.70, 47,728.05 and 16,234.30 is: 24,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.70 : 47,728.05 = 16,234.30 : x
  2. Step 2: Convert to fraction form
    31,818.70/47,728.05 = 16,234.30/x
  3. Step 3: Cross multiply
    31,818.70x = 47,728.05 × 16,234.30
  4. Step 4: Simplify right side
    31,818.70x = 774,831,482.12
  5. Step 5: Solve for x
    x = 774,831,482.12/31,818.70
  6. Step 6: Final answer
    x = 24,351.45

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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.