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Finding the Fourth Proportional to 31,916.03, 47,873.34 and 8,542.46

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Solution

The fourth proportional to 31,916.03, 47,873.34 and 8,542.46 is: 12,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.03 : 47,873.34 = 8,542.46 : x
  2. Step 2: Convert to fraction form
    31,916.03/47,873.34 = 8,542.46/x
  3. Step 3: Cross multiply
    31,916.03x = 47,873.34 × 8,542.46
  4. Step 4: Simplify right side
    31,916.03x = 408,956,211.70
  5. Step 5: Solve for x
    x = 408,956,211.70/31,916.03
  6. Step 6: Final answer
    x = 12,813.51

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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.