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Finding the Fourth Proportional to 33,527.12, 50,214.12 and 16,009.28

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Solution

The fourth proportional to 33,527.12, 50,214.12 and 16,009.28 is: 23,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527.12 : 50,214.12 = 16,009.28 : x
  2. Step 2: Convert to fraction form
    33,527.12/50,214.12 = 16,009.28/x
  3. Step 3: Cross multiply
    33,527.12x = 50,214.12 × 16,009.28
  4. Step 4: Simplify right side
    33,527.12x = 803,891,907.03
  5. Step 5: Solve for x
    x = 803,891,907.03/33,527.12
  6. Step 6: Final answer
    x = 23,977.36

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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.