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Finding the Fourth Proportional to 55,738.45, 83,610.41 and 22,454

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Solution

The fourth proportional to 55,738.45, 83,610.41 and 22,454 is: 33,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,738.45 : 83,610.41 = 22,454 : x
  2. Step 2: Convert to fraction form
    55,738.45/83,610.41 = 22,454/x
  3. Step 3: Cross multiply
    55,738.45x = 83,610.41 × 22,454
  4. Step 4: Simplify right side
    55,738.45x = 1,877,388,146.14
  5. Step 5: Solve for x
    x = 1,877,388,146.14/55,738.45
  6. Step 6: Final answer
    x = 33,682.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.