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Finding the Fourth Proportional to 33,829.46, 50,743.02 and 8,869.31

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Solution

The fourth proportional to 33,829.46, 50,743.02 and 8,869.31 is: 13,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.46 : 50,743.02 = 8,869.31 : x
  2. Step 2: Convert to fraction form
    33,829.46/50,743.02 = 8,869.31/x
  3. Step 3: Cross multiply
    33,829.46x = 50,743.02 × 8,869.31
  4. Step 4: Simplify right side
    33,829.46x = 450,055,574.72
  5. Step 5: Solve for x
    x = 450,055,574.72/33,829.46
  6. Step 6: Final answer
    x = 13,303.66

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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.