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Finding the Fourth Proportional to 36,384.54, 50,210.58 and 20,469

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Solution

The fourth proportional to 36,384.54, 50,210.58 and 20,469 is: 28,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384.54 : 50,210.58 = 20,469 : x
  2. Step 2: Convert to fraction form
    36,384.54/50,210.58 = 20,469/x
  3. Step 3: Cross multiply
    36,384.54x = 50,210.58 × 20,469
  4. Step 4: Simplify right side
    36,384.54x = 1,027,760,362.02
  5. Step 5: Solve for x
    x = 1,027,760,362.02/36,384.54
  6. Step 6: Final answer
    x = 28,247.17

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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.