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Finding the Fourth Proportional to 33,978, 50,969.66 and 9,017.50

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Solution

The fourth proportional to 33,978, 50,969.66 and 9,017.50 is: 13,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978 : 50,969.66 = 9,017.50 : x
  2. Step 2: Convert to fraction form
    33,978/50,969.66 = 9,017.50/x
  3. Step 3: Cross multiply
    33,978x = 50,969.66 × 9,017.50
  4. Step 4: Simplify right side
    33,978x = 459,618,909.05
  5. Step 5: Solve for x
    x = 459,618,909.05/33,978
  6. Step 6: Final answer
    x = 13,526.96

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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.