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Finding the Fourth Proportional to 30,543.56, 42,149.40 and 17,969.12

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Solution

The fourth proportional to 30,543.56, 42,149.40 and 17,969.12 is: 24,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.56 : 42,149.40 = 17,969.12 : x
  2. Step 2: Convert to fraction form
    30,543.56/42,149.40 = 17,969.12/x
  3. Step 3: Cross multiply
    30,543.56x = 42,149.40 × 17,969.12
  4. Step 4: Simplify right side
    30,543.56x = 757,387,626.53
  5. Step 5: Solve for x
    x = 757,387,626.53/30,543.56
  6. Step 6: Final answer
    x = 24,796.97

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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.