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Finding the Fourth Proportional to 37,780, 52,138.47 and 21,869.57

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Solution

The fourth proportional to 37,780, 52,138.47 and 21,869.57 is: 30,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780 : 52,138.47 = 21,869.57 : x
  2. Step 2: Convert to fraction form
    37,780/52,138.47 = 21,869.57/x
  3. Step 3: Cross multiply
    37,780x = 52,138.47 × 21,869.57
  4. Step 4: Simplify right side
    37,780x = 1,140,245,919.36
  5. Step 5: Solve for x
    x = 1,140,245,919.36/37,780
  6. Step 6: Final answer
    x = 30,181.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.