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Finding the Fourth Proportional to 30,769.20, 42,184.53 and 30,208.68

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Solution

The fourth proportional to 30,769.20, 42,184.53 and 30,208.68 is: 41,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.20 : 42,184.53 = 30,208.68 : x
  2. Step 2: Convert to fraction form
    30,769.20/42,184.53 = 30,208.68/x
  3. Step 3: Cross multiply
    30,769.20x = 42,184.53 × 30,208.68
  4. Step 4: Simplify right side
    30,769.20x = 1,274,338,967.72
  5. Step 5: Solve for x
    x = 1,274,338,967.72/30,769.20
  6. Step 6: Final answer
    x = 41,416.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.