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Finding the Fourth Proportional to 36,253.28, 50,029.80 and 23,678

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Solution

The fourth proportional to 36,253.28, 50,029.80 and 23,678 is: 32,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,253.28 : 50,029.80 = 23,678 : x
  2. Step 2: Convert to fraction form
    36,253.28/50,029.80 = 23,678/x
  3. Step 3: Cross multiply
    36,253.28x = 50,029.80 × 23,678
  4. Step 4: Simplify right side
    36,253.28x = 1,184,605,604.40
  5. Step 5: Solve for x
    x = 1,184,605,604.40/36,253.28
  6. Step 6: Final answer
    x = 32,675.82

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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.