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Finding the Fourth Proportional to 54,622, 81,856.80 and 41,284.04

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Solution

The fourth proportional to 54,622, 81,856.80 and 41,284.04 is: 61,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,622 : 81,856.80 = 41,284.04 : x
  2. Step 2: Convert to fraction form
    54,622/81,856.80 = 41,284.04/x
  3. Step 3: Cross multiply
    54,622x = 81,856.80 × 41,284.04
  4. Step 4: Simplify right side
    54,622x = 3,379,379,405.47
  5. Step 5: Solve for x
    x = 3,379,379,405.47/54,622
  6. Step 6: Final answer
    x = 61,868.47

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Why These Related Problems?

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