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Finding the Fourth Proportional to 41,643.60, 57,467.70 and 22,780.50

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Solution

The fourth proportional to 41,643.60, 57,467.70 and 22,780.50 is: 31,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,643.60 : 57,467.70 = 22,780.50 : x
  2. Step 2: Convert to fraction form
    41,643.60/57,467.70 = 22,780.50/x
  3. Step 3: Cross multiply
    41,643.60x = 57,467.70 × 22,780.50
  4. Step 4: Simplify right side
    41,643.60x = 1,309,142,939.85
  5. Step 5: Solve for x
    x = 1,309,142,939.85/41,643.60
  6. Step 6: Final answer
    x = 31,436.83

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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.