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Finding the Fourth Proportional to 30,876.60, 42,609.74 and 16,729.44

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Solution

The fourth proportional to 30,876.60, 42,609.74 and 16,729.44 is: 23,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.60 : 42,609.74 = 16,729.44 : x
  2. Step 2: Convert to fraction form
    30,876.60/42,609.74 = 16,729.44/x
  3. Step 3: Cross multiply
    30,876.60x = 42,609.74 × 16,729.44
  4. Step 4: Simplify right side
    30,876.60x = 712,837,088.75
  5. Step 5: Solve for x
    x = 712,837,088.75/30,876.60
  6. Step 6: Final answer
    x = 23,086.65

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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.