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Finding the Fourth Proportional to 51,722.39, 71,384.62 and 31,590.85

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Solution

The fourth proportional to 51,722.39, 71,384.62 and 31,590.85 is: 43,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722.39 : 71,384.62 = 31,590.85 : x
  2. Step 2: Convert to fraction form
    51,722.39/71,384.62 = 31,590.85/x
  3. Step 3: Cross multiply
    51,722.39x = 71,384.62 × 31,590.85
  4. Step 4: Simplify right side
    51,722.39x = 2,255,100,822.73
  5. Step 5: Solve for x
    x = 2,255,100,822.73/51,722.39
  6. Step 6: Final answer
    x = 43,600.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.