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Finding the Fourth Proportional to 30,876.34, 42,609.07 and 16,729.15

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Solution

The fourth proportional to 30,876.34, 42,609.07 and 16,729.15 is: 23,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.34 : 42,609.07 = 16,729.15 : x
  2. Step 2: Convert to fraction form
    30,876.34/42,609.07 = 16,729.15/x
  3. Step 3: Cross multiply
    30,876.34x = 42,609.07 × 16,729.15
  4. Step 4: Simplify right side
    30,876.34x = 712,813,523.39
  5. Step 5: Solve for x
    x = 712,813,523.39/30,876.34
  6. Step 6: Final answer
    x = 23,086.08

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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.