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Finding the Fourth Proportional to 33,728.64, 46,563.80 and 20,303.16

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Solution

The fourth proportional to 33,728.64, 46,563.80 and 20,303.16 is: 28,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.64 : 46,563.80 = 20,303.16 : x
  2. Step 2: Convert to fraction form
    33,728.64/46,563.80 = 20,303.16/x
  3. Step 3: Cross multiply
    33,728.64x = 46,563.80 × 20,303.16
  4. Step 4: Simplify right side
    33,728.64x = 945,392,281.61
  5. Step 5: Solve for x
    x = 945,392,281.61/33,728.64
  6. Step 6: Final answer
    x = 28,029.36

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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.