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Finding the Fourth Proportional to 36,224.48, 49,987.68 and 20,306

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Solution

The fourth proportional to 36,224.48, 49,987.68 and 20,306 is: 28,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224.48 : 49,987.68 = 20,306 : x
  2. Step 2: Convert to fraction form
    36,224.48/49,987.68 = 20,306/x
  3. Step 3: Cross multiply
    36,224.48x = 49,987.68 × 20,306
  4. Step 4: Simplify right side
    36,224.48x = 1,015,049,830.08
  5. Step 5: Solve for x
    x = 1,015,049,830.08/36,224.48
  6. Step 6: Final answer
    x = 28,021.10

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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.