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Finding the Fourth Proportional to 33,429, 50,143.50 and 10,055.46

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Solution

The fourth proportional to 33,429, 50,143.50 and 10,055.46 is: 15,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429 : 50,143.50 = 10,055.46 : x
  2. Step 2: Convert to fraction form
    33,429/50,143.50 = 10,055.46/x
  3. Step 3: Cross multiply
    33,429x = 50,143.50 × 10,055.46
  4. Step 4: Simplify right side
    33,429x = 504,215,958.51
  5. Step 5: Solve for x
    x = 504,215,958.51/33,429
  6. Step 6: Final answer
    x = 15,083.19

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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.