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Finding the Fourth Proportional to 30,982.56, 42,769.02 and 20,924.64

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Solution

The fourth proportional to 30,982.56, 42,769.02 and 20,924.64 is: 28,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.56 : 42,769.02 = 20,924.64 : x
  2. Step 2: Convert to fraction form
    30,982.56/42,769.02 = 20,924.64/x
  3. Step 3: Cross multiply
    30,982.56x = 42,769.02 × 20,924.64
  4. Step 4: Simplify right side
    30,982.56x = 894,926,346.65
  5. Step 5: Solve for x
    x = 894,926,346.65/30,982.56
  6. Step 6: Final answer
    x = 28,884.84

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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.