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Finding the Fourth Proportional to 35,644.43, 49,169.57 and 22,883.28

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Solution

The fourth proportional to 35,644.43, 49,169.57 and 22,883.28 is: 31,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.43 : 49,169.57 = 22,883.28 : x
  2. Step 2: Convert to fraction form
    35,644.43/49,169.57 = 22,883.28/x
  3. Step 3: Cross multiply
    35,644.43x = 49,169.57 × 22,883.28
  4. Step 4: Simplify right side
    35,644.43x = 1,125,161,094.82
  5. Step 5: Solve for x
    x = 1,125,161,094.82/35,644.43
  6. Step 6: Final answer
    x = 31,566.26

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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.