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Finding the Fourth Proportional to 33,422.72, 50,140.40 and 13,433.76

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Solution

The fourth proportional to 33,422.72, 50,140.40 and 13,433.76 is: 20,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,422.72 : 50,140.40 = 13,433.76 : x
  2. Step 2: Convert to fraction form
    33,422.72/50,140.40 = 13,433.76/x
  3. Step 3: Cross multiply
    33,422.72x = 50,140.40 × 13,433.76
  4. Step 4: Simplify right side
    33,422.72x = 673,574,032.74
  5. Step 5: Solve for x
    x = 673,574,032.74/33,422.72
  6. Step 6: Final answer
    x = 20,153.18

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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.