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Finding the Fourth Proportional to 30,876.60, 46,331.70 and 16,835.80

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Solution

The fourth proportional to 30,876.60, 46,331.70 and 16,835.80 is: 25,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.60 : 46,331.70 = 16,835.80 : x
  2. Step 2: Convert to fraction form
    30,876.60/46,331.70 = 16,835.80/x
  3. Step 3: Cross multiply
    30,876.60x = 46,331.70 × 16,835.80
  4. Step 4: Simplify right side
    30,876.60x = 780,031,234.86
  5. Step 5: Solve for x
    x = 780,031,234.86/30,876.60
  6. Step 6: Final answer
    x = 25,262.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.