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Finding the Fourth Proportional to 33,857.60, 50,815.20 and 15,166.40

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Solution

The fourth proportional to 33,857.60, 50,815.20 and 15,166.40 is: 22,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,857.60 : 50,815.20 = 15,166.40 : x
  2. Step 2: Convert to fraction form
    33,857.60/50,815.20 = 15,166.40/x
  3. Step 3: Cross multiply
    33,857.60x = 50,815.20 × 15,166.40
  4. Step 4: Simplify right side
    33,857.60x = 770,683,649.28
  5. Step 5: Solve for x
    x = 770,683,649.28/33,857.60
  6. Step 6: Final answer
    x = 22,762.50

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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.