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Finding the Fourth Proportional to 30,874.94, 42,607.44 and 16,727.78

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Solution

The fourth proportional to 30,874.94, 42,607.44 and 16,727.78 is: 23,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.94 : 42,607.44 = 16,727.78 : x
  2. Step 2: Convert to fraction form
    30,874.94/42,607.44 = 16,727.78/x
  3. Step 3: Cross multiply
    30,874.94x = 42,607.44 × 16,727.78
  4. Step 4: Simplify right side
    30,874.94x = 712,728,036.25
  5. Step 5: Solve for x
    x = 712,728,036.25/30,874.94
  6. Step 6: Final answer
    x = 23,084.35

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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.