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Finding the Fourth Proportional to 50,845.50, 70,166.81 and 30,973.50

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Solution

The fourth proportional to 50,845.50, 70,166.81 and 30,973.50 is: 42,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,845.50 : 70,166.81 = 30,973.50 : x
  2. Step 2: Convert to fraction form
    50,845.50/70,166.81 = 30,973.50/x
  3. Step 3: Cross multiply
    50,845.50x = 70,166.81 × 30,973.50
  4. Step 4: Simplify right side
    50,845.50x = 2,173,311,689.54
  5. Step 5: Solve for x
    x = 2,173,311,689.54/50,845.50
  6. Step 6: Final answer
    x = 42,743.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.