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Finding the Fourth Proportional to 35,694.60, 49,257.81 and 19,778.91

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Solution

The fourth proportional to 35,694.60, 49,257.81 and 19,778.91 is: 27,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.60 : 49,257.81 = 19,778.91 : x
  2. Step 2: Convert to fraction form
    35,694.60/49,257.81 = 19,778.91/x
  3. Step 3: Cross multiply
    35,694.60x = 49,257.81 × 19,778.91
  4. Step 4: Simplify right side
    35,694.60x = 974,265,790.79
  5. Step 5: Solve for x
    x = 974,265,790.79/35,694.60
  6. Step 6: Final answer
    x = 27,294.49

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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.