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Finding the Fourth Proportional to 33,467.60, 50,208.60 and 10,096.40

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Solution

The fourth proportional to 33,467.60, 50,208.60 and 10,096.40 is: 15,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467.60 : 50,208.60 = 10,096.40 : x
  2. Step 2: Convert to fraction form
    33,467.60/50,208.60 = 10,096.40/x
  3. Step 3: Cross multiply
    33,467.60x = 50,208.60 × 10,096.40
  4. Step 4: Simplify right side
    33,467.60x = 506,926,109.04
  5. Step 5: Solve for x
    x = 506,926,109.04/33,467.60
  6. Step 6: Final answer
    x = 15,146.77

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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.