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Finding the Fourth Proportional to 32,973.97, 45,504.93 and 20,234.19

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Solution

The fourth proportional to 32,973.97, 45,504.93 and 20,234.19 is: 27,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.97 : 45,504.93 = 20,234.19 : x
  2. Step 2: Convert to fraction form
    32,973.97/45,504.93 = 20,234.19/x
  3. Step 3: Cross multiply
    32,973.97x = 45,504.93 × 20,234.19
  4. Step 4: Simplify right side
    32,973.97x = 920,755,439.82
  5. Step 5: Solve for x
    x = 920,755,439.82/32,973.97
  6. Step 6: Final answer
    x = 27,923.71

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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.