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Finding the Fourth Proportional to 33,409.76, 46,105.34 and 18,302.40

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Solution

The fourth proportional to 33,409.76, 46,105.34 and 18,302.40 is: 25,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.76 : 46,105.34 = 18,302.40 : x
  2. Step 2: Convert to fraction form
    33,409.76/46,105.34 = 18,302.40/x
  3. Step 3: Cross multiply
    33,409.76x = 46,105.34 × 18,302.40
  4. Step 4: Simplify right side
    33,409.76x = 843,838,283.30
  5. Step 5: Solve for x
    x = 843,838,283.30/33,409.76
  6. Step 6: Final answer
    x = 25,257.24

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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.