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Finding the Fourth Proportional to 33,583.01, 50,374.71 and 10,209.38

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Solution

The fourth proportional to 33,583.01, 50,374.71 and 10,209.38 is: 15,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.01 : 50,374.71 = 10,209.38 : x
  2. Step 2: Convert to fraction form
    33,583.01/50,374.71 = 10,209.38/x
  3. Step 3: Cross multiply
    33,583.01x = 50,374.71 × 10,209.38
  4. Step 4: Simplify right side
    33,583.01x = 514,294,304.91
  5. Step 5: Solve for x
    x = 514,294,304.91/33,583.01
  6. Step 6: Final answer
    x = 15,314.12

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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.