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Finding the Fourth Proportional to 50,804.68, 76,194.77 and 21,206.47

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Solution

The fourth proportional to 50,804.68, 76,194.77 and 21,206.47 is: 31,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,804.68 : 76,194.77 = 21,206.47 : x
  2. Step 2: Convert to fraction form
    50,804.68/76,194.77 = 21,206.47/x
  3. Step 3: Cross multiply
    50,804.68x = 76,194.77 × 21,206.47
  4. Step 4: Simplify right side
    50,804.68x = 1,615,821,998.13
  5. Step 5: Solve for x
    x = 1,615,821,998.13/50,804.68
  6. Step 6: Final answer
    x = 31,804.59

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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.