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Finding the Fourth Proportional to 30,805.60, 42,511.08 and 18,234.40

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Solution

The fourth proportional to 30,805.60, 42,511.08 and 18,234.40 is: 25,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.60 : 42,511.08 = 18,234.40 : x
  2. Step 2: Convert to fraction form
    30,805.60/42,511.08 = 18,234.40/x
  3. Step 3: Cross multiply
    30,805.60x = 42,511.08 × 18,234.40
  4. Step 4: Simplify right side
    30,805.60x = 775,164,037.15
  5. Step 5: Solve for x
    x = 775,164,037.15/30,805.60
  6. Step 6: Final answer
    x = 25,163.09

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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.