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Finding the Fourth Proportional to 33,814.80, 50,722.20 and 13,038.30

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Solution

The fourth proportional to 33,814.80, 50,722.20 and 13,038.30 is: 19,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.80 : 50,722.20 = 13,038.30 : x
  2. Step 2: Convert to fraction form
    33,814.80/50,722.20 = 13,038.30/x
  3. Step 3: Cross multiply
    33,814.80x = 50,722.20 × 13,038.30
  4. Step 4: Simplify right side
    33,814.80x = 661,331,260.26
  5. Step 5: Solve for x
    x = 661,331,260.26/33,814.80
  6. Step 6: Final answer
    x = 19,557.45

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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.