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Finding the Fourth Proportional to 33,712.80, 46,520.34 and 19,564.26

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Solution

The fourth proportional to 33,712.80, 46,520.34 and 19,564.26 is: 26,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.80 : 46,520.34 = 19,564.26 : x
  2. Step 2: Convert to fraction form
    33,712.80/46,520.34 = 19,564.26/x
  3. Step 3: Cross multiply
    33,712.80x = 46,520.34 × 19,564.26
  4. Step 4: Simplify right side
    33,712.80x = 910,136,027.05
  5. Step 5: Solve for x
    x = 910,136,027.05/33,712.80
  6. Step 6: Final answer
    x = 26,996.75

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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.