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Finding the Fourth Proportional to 35,806.46, 49,412.89 and 19,892.39

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Solution

The fourth proportional to 35,806.46, 49,412.89 and 19,892.39 is: 27,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.46 : 49,412.89 = 19,892.39 : x
  2. Step 2: Convert to fraction form
    35,806.46/49,412.89 = 19,892.39/x
  3. Step 3: Cross multiply
    35,806.46x = 49,412.89 × 19,892.39
  4. Step 4: Simplify right side
    35,806.46x = 982,940,478.91
  5. Step 5: Solve for x
    x = 982,940,478.91/35,806.46
  6. Step 6: Final answer
    x = 27,451.48

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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.