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Finding the Fourth Proportional to 33,112.40, 49,668.60 and 14,401.40

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Solution

The fourth proportional to 33,112.40, 49,668.60 and 14,401.40 is: 21,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112.40 : 49,668.60 = 14,401.40 : x
  2. Step 2: Convert to fraction form
    33,112.40/49,668.60 = 14,401.40/x
  3. Step 3: Cross multiply
    33,112.40x = 49,668.60 × 14,401.40
  4. Step 4: Simplify right side
    33,112.40x = 715,297,376.04
  5. Step 5: Solve for x
    x = 715,297,376.04/33,112.40
  6. Step 6: Final answer
    x = 21,602.10

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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.