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Finding the Fourth Proportional to 33,420.43, 50,130.06 and 13,438.72

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Solution

The fourth proportional to 33,420.43, 50,130.06 and 13,438.72 is: 20,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.43 : 50,130.06 = 13,438.72 : x
  2. Step 2: Convert to fraction form
    33,420.43/50,130.06 = 13,438.72/x
  3. Step 3: Cross multiply
    33,420.43x = 50,130.06 × 13,438.72
  4. Step 4: Simplify right side
    33,420.43x = 673,683,839.92
  5. Step 5: Solve for x
    x = 673,683,839.92/33,420.43
  6. Step 6: Final answer
    x = 20,157.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.