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Finding the Fourth Proportional to 50,654.46, 69,905.06 and 27,994.41

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Solution

The fourth proportional to 50,654.46, 69,905.06 and 27,994.41 is: 38,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,654.46 : 69,905.06 = 27,994.41 : x
  2. Step 2: Convert to fraction form
    50,654.46/69,905.06 = 27,994.41/x
  3. Step 3: Cross multiply
    50,654.46x = 69,905.06 × 27,994.41
  4. Step 4: Simplify right side
    50,654.46x = 1,956,950,875.72
  5. Step 5: Solve for x
    x = 1,956,950,875.72/50,654.46
  6. Step 6: Final answer
    x = 38,633.34

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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.