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Finding the Fourth Proportional to 35,738.64, 49,287.03 and 22,311.12

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Solution

The fourth proportional to 35,738.64, 49,287.03 and 22,311.12 is: 30,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.64 : 49,287.03 = 22,311.12 : x
  2. Step 2: Convert to fraction form
    35,738.64/49,287.03 = 22,311.12/x
  3. Step 3: Cross multiply
    35,738.64x = 49,287.03 × 22,311.12
  4. Step 4: Simplify right side
    35,738.64x = 1,099,648,840.77
  5. Step 5: Solve for x
    x = 1,099,648,840.77/35,738.64
  6. Step 6: Final answer
    x = 30,769.19

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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.