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Finding the Fourth Proportional to 30,647.90, 42,291.50 and 17,218.10

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Solution

The fourth proportional to 30,647.90, 42,291.50 and 17,218.10 is: 23,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.90 : 42,291.50 = 17,218.10 : x
  2. Step 2: Convert to fraction form
    30,647.90/42,291.50 = 17,218.10/x
  3. Step 3: Cross multiply
    30,647.90x = 42,291.50 × 17,218.10
  4. Step 4: Simplify right side
    30,647.90x = 728,179,276.15
  5. Step 5: Solve for x
    x = 728,179,276.15/30,647.90
  6. Step 6: Final answer
    x = 23,759.52

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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.