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Finding the Fourth Proportional to 33,602.40, 46,351.80 and 20,165.94

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Solution

The fourth proportional to 33,602.40, 46,351.80 and 20,165.94 is: 27,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,602.40 : 46,351.80 = 20,165.94 : x
  2. Step 2: Convert to fraction form
    33,602.40/46,351.80 = 20,165.94/x
  3. Step 3: Cross multiply
    33,602.40x = 46,351.80 × 20,165.94
  4. Step 4: Simplify right side
    33,602.40x = 934,727,617.69
  5. Step 5: Solve for x
    x = 934,727,617.69/33,602.40
  6. Step 6: Final answer
    x = 27,817.29

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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.