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Finding the Fourth Proportional to 52,654.31, 79,051.53 and 27,711.87

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Solution

The fourth proportional to 52,654.31, 79,051.53 and 27,711.87 is: 41,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,654.31 : 79,051.53 = 27,711.87 : x
  2. Step 2: Convert to fraction form
    52,654.31/79,051.53 = 27,711.87/x
  3. Step 3: Cross multiply
    52,654.31x = 79,051.53 × 27,711.87
  4. Step 4: Simplify right side
    52,654.31x = 2,190,665,722.66
  5. Step 5: Solve for x
    x = 2,190,665,722.66/52,654.31
  6. Step 6: Final answer
    x = 41,604.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.