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Finding the Fourth Proportional to 30,539.88, 42,144.30 and 17,111.70

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Solution

The fourth proportional to 30,539.88, 42,144.30 and 17,111.70 is: 23,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.88 : 42,144.30 = 17,111.70 : x
  2. Step 2: Convert to fraction form
    30,539.88/42,144.30 = 17,111.70/x
  3. Step 3: Cross multiply
    30,539.88x = 42,144.30 × 17,111.70
  4. Step 4: Simplify right side
    30,539.88x = 721,160,618.31
  5. Step 5: Solve for x
    x = 721,160,618.31/30,539.88
  6. Step 6: Final answer
    x = 23,613.73

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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.