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Finding the Fourth Proportional to 33,118, 49,667.28 and 9,738.88

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Solution

The fourth proportional to 33,118, 49,667.28 and 9,738.88 is: 14,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,118 : 49,667.28 = 9,738.88 : x
  2. Step 2: Convert to fraction form
    33,118/49,667.28 = 9,738.88/x
  3. Step 3: Cross multiply
    33,118x = 49,667.28 × 9,738.88
  4. Step 4: Simplify right side
    33,118x = 483,703,679.85
  5. Step 5: Solve for x
    x = 483,703,679.85/33,118
  6. Step 6: Final answer
    x = 14,605.46

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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.