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Finding the Fourth Proportional to 41,674.80, 57,511.32 and 22,811.84

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Solution

The fourth proportional to 41,674.80, 57,511.32 and 22,811.84 is: 31,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674.80 : 57,511.32 = 22,811.84 : x
  2. Step 2: Convert to fraction form
    41,674.80/57,511.32 = 22,811.84/x
  3. Step 3: Cross multiply
    41,674.80x = 57,511.32 × 22,811.84
  4. Step 4: Simplify right side
    41,674.80x = 1,311,939,030.03
  5. Step 5: Solve for x
    x = 1,311,939,030.03/41,674.80
  6. Step 6: Final answer
    x = 31,480.39

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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.