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Finding the Fourth Proportional to 35,819.38, 49,431.99 and 19,904.50

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Solution

The fourth proportional to 35,819.38, 49,431.99 and 19,904.50 is: 27,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,819.38 : 49,431.99 = 19,904.50 : x
  2. Step 2: Convert to fraction form
    35,819.38/49,431.99 = 19,904.50/x
  3. Step 3: Cross multiply
    35,819.38x = 49,431.99 × 19,904.50
  4. Step 4: Simplify right side
    35,819.38x = 983,919,044.96
  5. Step 5: Solve for x
    x = 983,919,044.96/35,819.38
  6. Step 6: Final answer
    x = 27,468.90

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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.