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Finding the Fourth Proportional to 31,858, 43,909.85 and 21,768.93

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Solution

The fourth proportional to 31,858, 43,909.85 and 21,768.93 is: 30,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858 : 43,909.85 = 21,768.93 : x
  2. Step 2: Convert to fraction form
    31,858/43,909.85 = 21,768.93/x
  3. Step 3: Cross multiply
    31,858x = 43,909.85 × 21,768.93
  4. Step 4: Simplify right side
    31,858x = 955,870,450.96
  5. Step 5: Solve for x
    x = 955,870,450.96/31,858
  6. Step 6: Final answer
    x = 30,004.09

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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.