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Finding the Fourth Proportional to 36,428.50, 50,262.69 and 20,509.78

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Solution

The fourth proportional to 36,428.50, 50,262.69 and 20,509.78 is: 28,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,428.50 : 50,262.69 = 20,509.78 : x
  2. Step 2: Convert to fraction form
    36,428.50/50,262.69 = 20,509.78/x
  3. Step 3: Cross multiply
    36,428.50x = 50,262.69 × 20,509.78
  4. Step 4: Simplify right side
    36,428.50x = 1,030,876,714.11
  5. Step 5: Solve for x
    x = 1,030,876,714.11/36,428.50
  6. Step 6: Final answer
    x = 28,298.63

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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.