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Finding the Fourth Proportional to 33,567.66, 50,352.60 and 10,194

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Solution

The fourth proportional to 33,567.66, 50,352.60 and 10,194 is: 15,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,567.66 : 50,352.60 = 10,194 : x
  2. Step 2: Convert to fraction form
    33,567.66/50,352.60 = 10,194/x
  3. Step 3: Cross multiply
    33,567.66x = 50,352.60 × 10,194
  4. Step 4: Simplify right side
    33,567.66x = 513,294,404.40
  5. Step 5: Solve for x
    x = 513,294,404.40/33,567.66
  6. Step 6: Final answer
    x = 15,291.34

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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.