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Finding the Fourth Proportional to 33,054.49, 49,577.95 and 9,683.29

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Solution

The fourth proportional to 33,054.49, 49,577.95 and 9,683.29 is: 14,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,054.49 : 49,577.95 = 9,683.29 : x
  2. Step 2: Convert to fraction form
    33,054.49/49,577.95 = 9,683.29/x
  3. Step 3: Cross multiply
    33,054.49x = 49,577.95 × 9,683.29
  4. Step 4: Simplify right side
    33,054.49x = 480,077,667.46
  5. Step 5: Solve for x
    x = 480,077,667.46/33,054.49
  6. Step 6: Final answer
    x = 14,523.83

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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.