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Finding the Fourth Proportional to 33,842.16, 50,763.60 and 9,218.16

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Solution

The fourth proportional to 33,842.16, 50,763.60 and 9,218.16 is: 13,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.16 : 50,763.60 = 9,218.16 : x
  2. Step 2: Convert to fraction form
    33,842.16/50,763.60 = 9,218.16/x
  3. Step 3: Cross multiply
    33,842.16x = 50,763.60 × 9,218.16
  4. Step 4: Simplify right side
    33,842.16x = 467,946,986.98
  5. Step 5: Solve for x
    x = 467,946,986.98/33,842.16
  6. Step 6: Final answer
    x = 13,827.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.