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Finding the Fourth Proportional to 30,842.36, 42,559.90 and 18,094.21

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Solution

The fourth proportional to 30,842.36, 42,559.90 and 18,094.21 is: 24,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.36 : 42,559.90 = 18,094.21 : x
  2. Step 2: Convert to fraction form
    30,842.36/42,559.90 = 18,094.21/x
  3. Step 3: Cross multiply
    30,842.36x = 42,559.90 × 18,094.21
  4. Step 4: Simplify right side
    30,842.36x = 770,087,616.54
  5. Step 5: Solve for x
    x = 770,087,616.54/30,842.36
  6. Step 6: Final answer
    x = 24,968.51

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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.