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Finding the Fourth Proportional to 36,916.32, 50,944.68 and 20,149.68

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Solution

The fourth proportional to 36,916.32, 50,944.68 and 20,149.68 is: 27,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,916.32 : 50,944.68 = 20,149.68 : x
  2. Step 2: Convert to fraction form
    36,916.32/50,944.68 = 20,149.68/x
  3. Step 3: Cross multiply
    36,916.32x = 50,944.68 × 20,149.68
  4. Step 4: Simplify right side
    36,916.32x = 1,026,518,999.70
  5. Step 5: Solve for x
    x = 1,026,518,999.70/36,916.32
  6. Step 6: Final answer
    x = 27,806.64

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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.