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Finding the Fourth Proportional to 37,838.26, 52,223.70 and 21,924.28

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Solution

The fourth proportional to 37,838.26, 52,223.70 and 21,924.28 is: 30,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.26 : 52,223.70 = 21,924.28 : x
  2. Step 2: Convert to fraction form
    37,838.26/52,223.70 = 21,924.28/x
  3. Step 3: Cross multiply
    37,838.26x = 52,223.70 × 21,924.28
  4. Step 4: Simplify right side
    37,838.26x = 1,144,967,021.44
  5. Step 5: Solve for x
    x = 1,144,967,021.44/37,838.26
  6. Step 6: Final answer
    x = 30,259.51

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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.