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Finding the Fourth Proportional to 36,232.13, 54,301.41 and 16,227

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Solution

The fourth proportional to 36,232.13, 54,301.41 and 16,227 is: 24,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232.13 : 54,301.41 = 16,227 : x
  2. Step 2: Convert to fraction form
    36,232.13/54,301.41 = 16,227/x
  3. Step 3: Cross multiply
    36,232.13x = 54,301.41 × 16,227
  4. Step 4: Simplify right side
    36,232.13x = 881,148,980.07
  5. Step 5: Solve for x
    x = 881,148,980.07/36,232.13
  6. Step 6: Final answer
    x = 24,319.55

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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.