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Finding the Fourth Proportional to 30,727.30, 42,400.94 and 17,114.30

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Solution

The fourth proportional to 30,727.30, 42,400.94 and 17,114.30 is: 23,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.30 : 42,400.94 = 17,114.30 : x
  2. Step 2: Convert to fraction form
    30,727.30/42,400.94 = 17,114.30/x
  3. Step 3: Cross multiply
    30,727.30x = 42,400.94 × 17,114.30
  4. Step 4: Simplify right side
    30,727.30x = 725,662,407.44
  5. Step 5: Solve for x
    x = 725,662,407.44/30,727.30
  6. Step 6: Final answer
    x = 23,616.22

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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.