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Finding the Fourth Proportional to 33,764.64, 50,637.20 and 12,983.20

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Solution

The fourth proportional to 33,764.64, 50,637.20 and 12,983.20 is: 19,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,764.64 : 50,637.20 = 12,983.20 : x
  2. Step 2: Convert to fraction form
    33,764.64/50,637.20 = 12,983.20/x
  3. Step 3: Cross multiply
    33,764.64x = 50,637.20 × 12,983.20
  4. Step 4: Simplify right side
    33,764.64x = 657,432,895.04
  5. Step 5: Solve for x
    x = 657,432,895.04/33,764.64
  6. Step 6: Final answer
    x = 19,471.05

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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.