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Finding the Fourth Proportional to 30,725.98, 42,398.92 and 22,664.03

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Solution

The fourth proportional to 30,725.98, 42,398.92 and 22,664.03 is: 31,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.98 : 42,398.92 = 22,664.03 : x
  2. Step 2: Convert to fraction form
    30,725.98/42,398.92 = 22,664.03/x
  3. Step 3: Cross multiply
    30,725.98x = 42,398.92 × 22,664.03
  4. Step 4: Simplify right side
    30,725.98x = 960,930,343.03
  5. Step 5: Solve for x
    x = 960,930,343.03/30,725.98
  6. Step 6: Final answer
    x = 31,274.19

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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.