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Finding the Fourth Proportional to 55,176.50, 82,781.07 and 31,819.70

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Solution

The fourth proportional to 55,176.50, 82,781.07 and 31,819.70 is: 47,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176.50 : 82,781.07 = 31,819.70 : x
  2. Step 2: Convert to fraction form
    55,176.50/82,781.07 = 31,819.70/x
  3. Step 3: Cross multiply
    55,176.50x = 82,781.07 × 31,819.70
  4. Step 4: Simplify right side
    55,176.50x = 2,634,068,813.08
  5. Step 5: Solve for x
    x = 2,634,068,813.08/55,176.50
  6. Step 6: Final answer
    x = 47,738.96

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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.