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Finding the Fourth Proportional to 31,818.70, 47,728.05 and 16,266.70

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Solution

The fourth proportional to 31,818.70, 47,728.05 and 16,266.70 is: 24,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.70 : 47,728.05 = 16,266.70 : x
  2. Step 2: Convert to fraction form
    31,818.70/47,728.05 = 16,266.70/x
  3. Step 3: Cross multiply
    31,818.70x = 47,728.05 × 16,266.70
  4. Step 4: Simplify right side
    31,818.70x = 776,377,870.94
  5. Step 5: Solve for x
    x = 776,377,870.94/31,818.70
  6. Step 6: Final answer
    x = 24,400.05

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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.