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Finding the Fourth Proportional to 22,893.80, 31,982.20 and 22,893.80

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Solution

The fourth proportional to 22,893.80, 31,982.20 and 22,893.80 is: 31,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.80 : 31,982.20 = 22,893.80 : x
  2. Step 2: Convert to fraction form
    22,893.80/31,982.20 = 22,893.80/x
  3. Step 3: Cross multiply
    22,893.80x = 31,982.20 × 22,893.80
  4. Step 4: Simplify right side
    22,893.80x = 732,194,090.36
  5. Step 5: Solve for x
    x = 732,194,090.36/22,893.80
  6. Step 6: Final answer
    x = 31,982.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.