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Finding the Fourth Proportional to 33,872.40, 50,825.88 and 16,357.20

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Solution

The fourth proportional to 33,872.40, 50,825.88 and 16,357.20 is: 24,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872.40 : 50,825.88 = 16,357.20 : x
  2. Step 2: Convert to fraction form
    33,872.40/50,825.88 = 16,357.20/x
  3. Step 3: Cross multiply
    33,872.40x = 50,825.88 × 16,357.20
  4. Step 4: Simplify right side
    33,872.40x = 831,369,084.34
  5. Step 5: Solve for x
    x = 831,369,084.34/33,872.40
  6. Step 6: Final answer
    x = 24,544.14

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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.