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Finding the Fourth Proportional to 34,209.70, 51,424.90 and 31,722.42

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Solution

The fourth proportional to 34,209.70, 51,424.90 and 31,722.42 is: 47,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209.70 : 51,424.90 = 31,722.42 : x
  2. Step 2: Convert to fraction form
    34,209.70/51,424.90 = 31,722.42/x
  3. Step 3: Cross multiply
    34,209.70x = 51,424.90 × 31,722.42
  4. Step 4: Simplify right side
    34,209.70x = 1,631,322,276.26
  5. Step 5: Solve for x
    x = 1,631,322,276.26/34,209.70
  6. Step 6: Final answer
    x = 47,685.96

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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.