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Finding the Fourth Proportional to 33,394, 50,116.40 and 12,353.96

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Solution

The fourth proportional to 33,394, 50,116.40 and 12,353.96 is: 18,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394 : 50,116.40 = 12,353.96 : x
  2. Step 2: Convert to fraction form
    33,394/50,116.40 = 12,353.96/x
  3. Step 3: Cross multiply
    33,394x = 50,116.40 × 12,353.96
  4. Step 4: Simplify right side
    33,394x = 619,136,000.94
  5. Step 5: Solve for x
    x = 619,136,000.94/33,394
  6. Step 6: Final answer
    x = 18,540.34

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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.