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Finding the Fourth Proportional to 31,643.91, 43,658.73 and 21,035.34

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Solution

The fourth proportional to 31,643.91, 43,658.73 and 21,035.34 is: 29,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.91 : 43,658.73 = 21,035.34 : x
  2. Step 2: Convert to fraction form
    31,643.91/43,658.73 = 21,035.34/x
  3. Step 3: Cross multiply
    31,643.91x = 43,658.73 × 21,035.34
  4. Step 4: Simplify right side
    31,643.91x = 918,376,229.52
  5. Step 5: Solve for x
    x = 918,376,229.52/31,643.91
  6. Step 6: Final answer
    x = 29,022.21

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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.