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Finding the Fourth Proportional to 35,951.66, 53,965.83 and 31,817.96

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Solution

The fourth proportional to 35,951.66, 53,965.83 and 31,817.96 is: 47,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,951.66 : 53,965.83 = 31,817.96 : x
  2. Step 2: Convert to fraction form
    35,951.66/53,965.83 = 31,817.96/x
  3. Step 3: Cross multiply
    35,951.66x = 53,965.83 × 31,817.96
  4. Step 4: Simplify right side
    35,951.66x = 1,717,082,620.31
  5. Step 5: Solve for x
    x = 1,717,082,620.31/35,951.66
  6. Step 6: Final answer
    x = 47,760.87

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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.