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Finding the Fourth Proportional to 36,499.60, 54,744.64 and 11,542.16

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Solution

The fourth proportional to 36,499.60, 54,744.64 and 11,542.16 is: 17,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,499.60 : 54,744.64 = 11,542.16 : x
  2. Step 2: Convert to fraction form
    36,499.60/54,744.64 = 11,542.16/x
  3. Step 3: Cross multiply
    36,499.60x = 54,744.64 × 11,542.16
  4. Step 4: Simplify right side
    36,499.60x = 631,871,394.02
  5. Step 5: Solve for x
    x = 631,871,394.02/36,499.60
  6. Step 6: Final answer
    x = 17,311.73

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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.