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Finding the Fourth Proportional to 30,997.59, 42,777.16 and 16,850.47

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Solution

The fourth proportional to 30,997.59, 42,777.16 and 16,850.47 is: 23,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.59 : 42,777.16 = 16,850.47 : x
  2. Step 2: Convert to fraction form
    30,997.59/42,777.16 = 16,850.47/x
  3. Step 3: Cross multiply
    30,997.59x = 42,777.16 × 16,850.47
  4. Step 4: Simplify right side
    30,997.59x = 720,815,102.20
  5. Step 5: Solve for x
    x = 720,815,102.20/30,997.59
  6. Step 6: Final answer
    x = 23,253.91

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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.