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Finding the Fourth Proportional to 30,539.56, 42,144.30 and 17,111.40

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Solution

The fourth proportional to 30,539.56, 42,144.30 and 17,111.40 is: 23,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.56 : 42,144.30 = 17,111.40 : x
  2. Step 2: Convert to fraction form
    30,539.56/42,144.30 = 17,111.40/x
  3. Step 3: Cross multiply
    30,539.56x = 42,144.30 × 17,111.40
  4. Step 4: Simplify right side
    30,539.56x = 721,147,975.02
  5. Step 5: Solve for x
    x = 721,147,975.02/30,539.56
  6. Step 6: Final answer
    x = 23,613.57

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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.