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Finding the Fourth Proportional to 35,546.95, 49,052.82 and 22,117.78

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Solution

The fourth proportional to 35,546.95, 49,052.82 and 22,117.78 is: 30,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546.95 : 49,052.82 = 22,117.78 : x
  2. Step 2: Convert to fraction form
    35,546.95/49,052.82 = 22,117.78/x
  3. Step 3: Cross multiply
    35,546.95x = 49,052.82 × 22,117.78
  4. Step 4: Simplify right side
    35,546.95x = 1,084,939,481.14
  5. Step 5: Solve for x
    x = 1,084,939,481.14/35,546.95
  6. Step 6: Final answer
    x = 30,521.31

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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.