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Finding the Fourth Proportional to 30,874.31, 42,606.59 and 16,727.16

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Solution

The fourth proportional to 30,874.31, 42,606.59 and 16,727.16 is: 23,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.31 : 42,606.59 = 16,727.16 : x
  2. Step 2: Convert to fraction form
    30,874.31/42,606.59 = 16,727.16/x
  3. Step 3: Cross multiply
    30,874.31x = 42,606.59 × 16,727.16
  4. Step 4: Simplify right side
    30,874.31x = 712,687,034.95
  5. Step 5: Solve for x
    x = 712,687,034.95/30,874.31
  6. Step 6: Final answer
    x = 23,083.50

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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.