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Finding the Fourth Proportional to 33,527.25, 50,214.33 and 16,009.38

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Solution

The fourth proportional to 33,527.25, 50,214.33 and 16,009.38 is: 23,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527.25 : 50,214.33 = 16,009.38 : x
  2. Step 2: Convert to fraction form
    33,527.25/50,214.33 = 16,009.38/x
  3. Step 3: Cross multiply
    33,527.25x = 50,214.33 × 16,009.38
  4. Step 4: Simplify right side
    33,527.25x = 803,900,290.42
  5. Step 5: Solve for x
    x = 803,900,290.42/33,527.25
  6. Step 6: Final answer
    x = 23,977.52

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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.