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Finding the Fourth Proportional to 33,615.48, 50,423.70 and 13,894.20

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Solution

The fourth proportional to 33,615.48, 50,423.70 and 13,894.20 is: 20,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615.48 : 50,423.70 = 13,894.20 : x
  2. Step 2: Convert to fraction form
    33,615.48/50,423.70 = 13,894.20/x
  3. Step 3: Cross multiply
    33,615.48x = 50,423.70 × 13,894.20
  4. Step 4: Simplify right side
    33,615.48x = 700,596,972.54
  5. Step 5: Solve for x
    x = 700,596,972.54/33,615.48
  6. Step 6: Final answer
    x = 20,841.50

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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.