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Finding the Fourth Proportional to 33,277.68, 49,770.64 and 28,962

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Solution

The fourth proportional to 33,277.68, 49,770.64 and 28,962 is: 43,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.68 : 49,770.64 = 28,962 : x
  2. Step 2: Convert to fraction form
    33,277.68/49,770.64 = 28,962/x
  3. Step 3: Cross multiply
    33,277.68x = 49,770.64 × 28,962
  4. Step 4: Simplify right side
    33,277.68x = 1,441,457,275.68
  5. Step 5: Solve for x
    x = 1,441,457,275.68/33,277.68
  6. Step 6: Final answer
    x = 43,316.04

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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.