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Finding the Fourth Proportional to 34,190.00, 47,181.57 and 19,082.38

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Solution

The fourth proportional to 34,190.00, 47,181.57 and 19,082.38 is: 26,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,190.00 : 47,181.57 = 19,082.38 : x
  2. Step 2: Convert to fraction form
    34,190.00/47,181.57 = 19,082.38/x
  3. Step 3: Cross multiply
    34,190.00x = 47,181.57 × 19,082.38
  4. Step 4: Simplify right side
    34,190.00x = 900,336,647.74
  5. Step 5: Solve for x
    x = 900,336,647.74/34,190.00
  6. Step 6: Final answer
    x = 26,333.34

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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.