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Finding the Fourth Proportional to 20,737.50, 31,106.13 and 5,946.48

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Solution

The fourth proportional to 20,737.50, 31,106.13 and 5,946.48 is: 8,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.50 : 31,106.13 = 5,946.48 : x
  2. Step 2: Convert to fraction form
    20,737.50/31,106.13 = 5,946.48/x
  3. Step 3: Cross multiply
    20,737.50x = 31,106.13 × 5,946.48
  4. Step 4: Simplify right side
    20,737.50x = 184,971,979.92
  5. Step 5: Solve for x
    x = 184,971,979.92/20,737.50
  6. Step 6: Final answer
    x = 8,919.69

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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.