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Finding the Fourth Proportional to 30,825.89, 42,539.72 and 16,678.73

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Solution

The fourth proportional to 30,825.89, 42,539.72 and 16,678.73 is: 23,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.89 : 42,539.72 = 16,678.73 : x
  2. Step 2: Convert to fraction form
    30,825.89/42,539.72 = 16,678.73/x
  3. Step 3: Cross multiply
    30,825.89x = 42,539.72 × 16,678.73
  4. Step 4: Simplify right side
    30,825.89x = 709,508,610.50
  5. Step 5: Solve for x
    x = 709,508,610.50/30,825.89
  6. Step 6: Final answer
    x = 23,016.65

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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.