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Finding the Fourth Proportional to 41,105.20, 57,678.50 and 41,105.20

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Solution

The fourth proportional to 41,105.20, 57,678.50 and 41,105.20 is: 57,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.20 : 57,678.50 = 41,105.20 : x
  2. Step 2: Convert to fraction form
    41,105.20/57,678.50 = 41,105.20/x
  3. Step 3: Cross multiply
    41,105.20x = 57,678.50 × 41,105.20
  4. Step 4: Simplify right side
    41,105.20x = 2,370,886,278.20
  5. Step 5: Solve for x
    x = 2,370,886,278.20/41,105.20
  6. Step 6: Final answer
    x = 57,678.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.