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Finding the Fourth Proportional to 33,502, 50,276.04 and 11,614

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Solution

The fourth proportional to 33,502, 50,276.04 and 11,614 is: 17,428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,502 : 50,276.04 = 11,614 : x
  2. Step 2: Convert to fraction form
    33,502/50,276.04 = 11,614/x
  3. Step 3: Cross multiply
    33,502x = 50,276.04 × 11,614
  4. Step 4: Simplify right side
    33,502x = 583,905,928.56
  5. Step 5: Solve for x
    x = 583,905,928.56/33,502
  6. Step 6: Final answer
    x = 17,428.99

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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.