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Finding the Fourth Proportional to 32,853.88, 45,323.94 and 20,107.63

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Solution

The fourth proportional to 32,853.88, 45,323.94 and 20,107.63 is: 27,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.88 : 45,323.94 = 20,107.63 : x
  2. Step 2: Convert to fraction form
    32,853.88/45,323.94 = 20,107.63/x
  3. Step 3: Cross multiply
    32,853.88x = 45,323.94 × 20,107.63
  4. Step 4: Simplify right side
    32,853.88x = 911,357,015.66
  5. Step 5: Solve for x
    x = 911,357,015.66/32,853.88
  6. Step 6: Final answer
    x = 27,739.71

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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.