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Finding the Fourth Proportional to 30,998.34, 42,778.08 and 16,850.88

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Solution

The fourth proportional to 30,998.34, 42,778.08 and 16,850.88 is: 23,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.34 : 42,778.08 = 16,850.88 : x
  2. Step 2: Convert to fraction form
    30,998.34/42,778.08 = 16,850.88/x
  3. Step 3: Cross multiply
    30,998.34x = 42,778.08 × 16,850.88
  4. Step 4: Simplify right side
    30,998.34x = 720,848,292.71
  5. Step 5: Solve for x
    x = 720,848,292.71/30,998.34
  6. Step 6: Final answer
    x = 23,254.42

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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.