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Finding the Fourth Proportional to 33,431.40, 50,147.10 and 13,724.10

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Solution

The fourth proportional to 33,431.40, 50,147.10 and 13,724.10 is: 20,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.40 : 50,147.10 = 13,724.10 : x
  2. Step 2: Convert to fraction form
    33,431.40/50,147.10 = 13,724.10/x
  3. Step 3: Cross multiply
    33,431.40x = 50,147.10 × 13,724.10
  4. Step 4: Simplify right side
    33,431.40x = 688,223,815.11
  5. Step 5: Solve for x
    x = 688,223,815.11/33,431.40
  6. Step 6: Final answer
    x = 20,586.15

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1.5x scale

Why These Related Problems?

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