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Finding the Fourth Proportional to 36,189.75, 49,941.99 and 23,614.50

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Solution

The fourth proportional to 36,189.75, 49,941.99 and 23,614.50 is: 32,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,189.75 : 49,941.99 = 23,614.50 : x
  2. Step 2: Convert to fraction form
    36,189.75/49,941.99 = 23,614.50/x
  3. Step 3: Cross multiply
    36,189.75x = 49,941.99 × 23,614.50
  4. Step 4: Simplify right side
    36,189.75x = 1,179,355,122.86
  5. Step 5: Solve for x
    x = 1,179,355,122.86/36,189.75
  6. Step 6: Final answer
    x = 32,588.10

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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.