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Finding the Fourth Proportional to 33,856.34, 46,706.99 and 20,420.12

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Solution

The fourth proportional to 33,856.34, 46,706.99 and 20,420.12 is: 28,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.34 : 46,706.99 = 20,420.12 : x
  2. Step 2: Convert to fraction form
    33,856.34/46,706.99 = 20,420.12/x
  3. Step 3: Cross multiply
    33,856.34x = 46,706.99 × 20,420.12
  4. Step 4: Simplify right side
    33,856.34x = 953,762,355.31
  5. Step 5: Solve for x
    x = 953,762,355.31/33,856.34
  6. Step 6: Final answer
    x = 28,170.87

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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.