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Finding the Fourth Proportional to 31,121.72, 46,616.93 and 21,132.59

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Solution

The fourth proportional to 31,121.72, 46,616.93 and 21,132.59 is: 31,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121.72 : 46,616.93 = 21,132.59 : x
  2. Step 2: Convert to fraction form
    31,121.72/46,616.93 = 21,132.59/x
  3. Step 3: Cross multiply
    31,121.72x = 46,616.93 × 21,132.59
  4. Step 4: Simplify right side
    31,121.72x = 985,136,363.09
  5. Step 5: Solve for x
    x = 985,136,363.09/31,121.72
  6. Step 6: Final answer
    x = 31,654.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.