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Finding the Fourth Proportional to 34,147.38, 47,123.58 and 19,041

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Solution

The fourth proportional to 34,147.38, 47,123.58 and 19,041 is: 26,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147.38 : 47,123.58 = 19,041 : x
  2. Step 2: Convert to fraction form
    34,147.38/47,123.58 = 19,041/x
  3. Step 3: Cross multiply
    34,147.38x = 47,123.58 × 19,041
  4. Step 4: Simplify right side
    34,147.38x = 897,280,086.78
  5. Step 5: Solve for x
    x = 897,280,086.78/34,147.38
  6. Step 6: Final answer
    x = 26,276.69

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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.