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Finding the Fourth Proportional to 34,861.38, 48,235.36 and 30,394.43

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Solution

The fourth proportional to 34,861.38, 48,235.36 and 30,394.43 is: 42,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,861.38 : 48,235.36 = 30,394.43 : x
  2. Step 2: Convert to fraction form
    34,861.38/48,235.36 = 30,394.43/x
  3. Step 3: Cross multiply
    34,861.38x = 48,235.36 × 30,394.43
  4. Step 4: Simplify right side
    34,861.38x = 1,466,086,273.04
  5. Step 5: Solve for x
    x = 1,466,086,273.04/34,861.38
  6. Step 6: Final answer
    x = 42,054.74

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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.