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Finding the Fourth Proportional to 36,887.12, 50,904.12 and 20,120

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Solution

The fourth proportional to 36,887.12, 50,904.12 and 20,120 is: 27,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,887.12 : 50,904.12 = 20,120 : x
  2. Step 2: Convert to fraction form
    36,887.12/50,904.12 = 20,120/x
  3. Step 3: Cross multiply
    36,887.12x = 50,904.12 × 20,120
  4. Step 4: Simplify right side
    36,887.12x = 1,024,190,894.40
  5. Step 5: Solve for x
    x = 1,024,190,894.40/36,887.12
  6. Step 6: Final answer
    x = 27,765.54

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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.