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Finding the Fourth Proportional to 30,114.64, 41,517.30 and 20,043.64

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Solution

The fourth proportional to 30,114.64, 41,517.30 and 20,043.64 is: 27,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.64 : 41,517.30 = 20,043.64 : x
  2. Step 2: Convert to fraction form
    30,114.64/41,517.30 = 20,043.64/x
  3. Step 3: Cross multiply
    30,114.64x = 41,517.30 × 20,043.64
  4. Step 4: Simplify right side
    30,114.64x = 832,157,814.97
  5. Step 5: Solve for x
    x = 832,157,814.97/30,114.64
  6. Step 6: Final answer
    x = 27,633.00

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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.