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Finding the Fourth Proportional to 30,112.46, 41,562.09 and 20,041.32

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Solution

The fourth proportional to 30,112.46, 41,562.09 and 20,041.32 is: 27,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,112.46 : 41,562.09 = 20,041.32 : x
  2. Step 2: Convert to fraction form
    30,112.46/41,562.09 = 20,041.32/x
  3. Step 3: Cross multiply
    30,112.46x = 41,562.09 × 20,041.32
  4. Step 4: Simplify right side
    30,112.46x = 832,959,145.56
  5. Step 5: Solve for x
    x = 832,959,145.56/30,112.46
  6. Step 6: Final answer
    x = 27,661.62

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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.