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Finding the Fourth Proportional to 30,252.30, 41,751.89 and 18,319.78

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Solution

The fourth proportional to 30,252.30, 41,751.89 and 18,319.78 is: 25,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.30 : 41,751.89 = 18,319.78 : x
  2. Step 2: Convert to fraction form
    30,252.30/41,751.89 = 18,319.78/x
  3. Step 3: Cross multiply
    30,252.30x = 41,751.89 × 18,319.78
  4. Step 4: Simplify right side
    30,252.30x = 764,885,439.38
  5. Step 5: Solve for x
    x = 764,885,439.38/30,252.30
  6. Step 6: Final answer
    x = 25,283.55

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Why These Related Problems?

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