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Finding the Fourth Proportional to 41,109, 56,730.42 and 22,246.26

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Solution

The fourth proportional to 41,109, 56,730.42 and 22,246.26 is: 30,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109 : 56,730.42 = 22,246.26 : x
  2. Step 2: Convert to fraction form
    41,109/56,730.42 = 22,246.26/x
  3. Step 3: Cross multiply
    41,109x = 56,730.42 × 22,246.26
  4. Step 4: Simplify right side
    41,109x = 1,262,039,673.23
  5. Step 5: Solve for x
    x = 1,262,039,673.23/41,109
  6. Step 6: Final answer
    x = 30,699.84

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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.