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Finding the Fourth Proportional to 33,970.64, 50,964 and 33,405.81

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Solution

The fourth proportional to 33,970.64, 50,964 and 33,405.81 is: 50,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.64 : 50,964 = 33,405.81 : x
  2. Step 2: Convert to fraction form
    33,970.64/50,964 = 33,405.81/x
  3. Step 3: Cross multiply
    33,970.64x = 50,964 × 33,405.81
  4. Step 4: Simplify right side
    33,970.64x = 1,702,493,700.84
  5. Step 5: Solve for x
    x = 1,702,493,700.84/33,970.64
  6. Step 6: Final answer
    x = 50,116.63

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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.