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Finding the Fourth Proportional to 22,949.51, 31,761.41 and 22,397.30

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Solution

The fourth proportional to 22,949.51, 31,761.41 and 22,397.30 is: 30,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.51 : 31,761.41 = 22,397.30 : x
  2. Step 2: Convert to fraction form
    22,949.51/31,761.41 = 22,397.30/x
  3. Step 3: Cross multiply
    22,949.51x = 31,761.41 × 22,397.30
  4. Step 4: Simplify right side
    22,949.51x = 711,369,725.38
  5. Step 5: Solve for x
    x = 711,369,725.38/22,949.51
  6. Step 6: Final answer
    x = 30,997.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.