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Finding the Fourth Proportional to 33,530.31, 50,295.42 and 8,570.39

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Solution

The fourth proportional to 33,530.31, 50,295.42 and 8,570.39 is: 12,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530.31 : 50,295.42 = 8,570.39 : x
  2. Step 2: Convert to fraction form
    33,530.31/50,295.42 = 8,570.39/x
  3. Step 3: Cross multiply
    33,530.31x = 50,295.42 × 8,570.39
  4. Step 4: Simplify right side
    33,530.31x = 431,051,113.14
  5. Step 5: Solve for x
    x = 431,051,113.14/33,530.31
  6. Step 6: Final answer
    x = 12,855.57

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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.