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Finding the Fourth Proportional to 30,539.34, 42,143.11 and 17,109.92

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Solution

The fourth proportional to 30,539.34, 42,143.11 and 17,109.92 is: 23,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.34 : 42,143.11 = 17,109.92 : x
  2. Step 2: Convert to fraction form
    30,539.34/42,143.11 = 17,109.92/x
  3. Step 3: Cross multiply
    30,539.34x = 42,143.11 × 17,109.92
  4. Step 4: Simplify right side
    30,539.34x = 721,065,029.94
  5. Step 5: Solve for x
    x = 721,065,029.94/30,539.34
  6. Step 6: Final answer
    x = 23,611.03

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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.