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Finding the Fourth Proportional to 30,388.64, 41,917.73 and 20,180.14

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Solution

The fourth proportional to 30,388.64, 41,917.73 and 20,180.14 is: 27,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388.64 : 41,917.73 = 20,180.14 : x
  2. Step 2: Convert to fraction form
    30,388.64/41,917.73 = 20,180.14/x
  3. Step 3: Cross multiply
    30,388.64x = 41,917.73 × 20,180.14
  4. Step 4: Simplify right side
    30,388.64x = 845,905,454.19
  5. Step 5: Solve for x
    x = 845,905,454.19/30,388.64
  6. Step 6: Final answer
    x = 27,836.24

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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.