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Finding the Fourth Proportional to 30,631.65, 42,274.80 and 17,204.09

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Solution

The fourth proportional to 30,631.65, 42,274.80 and 17,204.09 is: 23,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.65 : 42,274.80 = 17,204.09 : x
  2. Step 2: Convert to fraction form
    30,631.65/42,274.80 = 17,204.09/x
  3. Step 3: Cross multiply
    30,631.65x = 42,274.80 × 17,204.09
  4. Step 4: Simplify right side
    30,631.65x = 727,299,252.56
  5. Step 5: Solve for x
    x = 727,299,252.56/30,631.65
  6. Step 6: Final answer
    x = 23,743.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.