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Finding the Fourth Proportional to 33,804.44, 50,713.42 and 10,430

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Solution

The fourth proportional to 33,804.44, 50,713.42 and 10,430 is: 15,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804.44 : 50,713.42 = 10,430 : x
  2. Step 2: Convert to fraction form
    33,804.44/50,713.42 = 10,430/x
  3. Step 3: Cross multiply
    33,804.44x = 50,713.42 × 10,430
  4. Step 4: Simplify right side
    33,804.44x = 528,940,970.60
  5. Step 5: Solve for x
    x = 528,940,970.60/33,804.44
  6. Step 6: Final answer
    x = 15,647.09

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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.