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Finding the Fourth Proportional to 30,904.26, 42,647.39 and 17,475.09

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Solution

The fourth proportional to 30,904.26, 42,647.39 and 17,475.09 is: 24,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.26 : 42,647.39 = 17,475.09 : x
  2. Step 2: Convert to fraction form
    30,904.26/42,647.39 = 17,475.09/x
  3. Step 3: Cross multiply
    30,904.26x = 42,647.39 × 17,475.09
  4. Step 4: Simplify right side
    30,904.26x = 745,266,891.14
  5. Step 5: Solve for x
    x = 745,266,891.14/30,904.26
  6. Step 6: Final answer
    x = 24,115.34

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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.