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Finding the Fourth Proportional to 30,874.30, 42,606.57 and 16,727.14

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Solution

The fourth proportional to 30,874.30, 42,606.57 and 16,727.14 is: 23,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.30 : 42,606.57 = 16,727.14 : x
  2. Step 2: Convert to fraction form
    30,874.30/42,606.57 = 16,727.14/x
  3. Step 3: Cross multiply
    30,874.30x = 42,606.57 × 16,727.14
  4. Step 4: Simplify right side
    30,874.30x = 712,686,061.31
  5. Step 5: Solve for x
    x = 712,686,061.31/30,874.30
  6. Step 6: Final answer
    x = 23,083.48

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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.