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Finding the Fourth Proportional to 54,896.58, 75,766.32 and 41,446.80

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Solution

The fourth proportional to 54,896.58, 75,766.32 and 41,446.80 is: 57,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896.58 : 75,766.32 = 41,446.80 : x
  2. Step 2: Convert to fraction form
    54,896.58/75,766.32 = 41,446.80/x
  3. Step 3: Cross multiply
    54,896.58x = 75,766.32 × 41,446.80
  4. Step 4: Simplify right side
    54,896.58x = 3,140,271,511.78
  5. Step 5: Solve for x
    x = 3,140,271,511.78/54,896.58
  6. Step 6: Final answer
    x = 57,203.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.