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Finding the Fourth Proportional to 30,585.36, 42,207.82 and 17,847.30

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Solution

The fourth proportional to 30,585.36, 42,207.82 and 17,847.30 is: 24,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.36 : 42,207.82 = 17,847.30 : x
  2. Step 2: Convert to fraction form
    30,585.36/42,207.82 = 17,847.30/x
  3. Step 3: Cross multiply
    30,585.36x = 42,207.82 × 17,847.30
  4. Step 4: Simplify right side
    30,585.36x = 753,295,625.89
  5. Step 5: Solve for x
    x = 753,295,625.89/30,585.36
  6. Step 6: Final answer
    x = 24,629.29

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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.