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Finding the Fourth Proportional to 36,243.12, 54,356.16 and 9,949.92

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Solution

The fourth proportional to 36,243.12, 54,356.16 and 9,949.92 is: 14,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,243.12 : 54,356.16 = 9,949.92 : x
  2. Step 2: Convert to fraction form
    36,243.12/54,356.16 = 9,949.92/x
  3. Step 3: Cross multiply
    36,243.12x = 54,356.16 × 9,949.92
  4. Step 4: Simplify right side
    36,243.12x = 540,839,443.51
  5. Step 5: Solve for x
    x = 540,839,443.51/36,243.12
  6. Step 6: Final answer
    x = 14,922.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.