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Finding the Fourth Proportional to 30,825.83, 42,539.64 and 16,678.67

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Solution

The fourth proportional to 30,825.83, 42,539.64 and 16,678.67 is: 23,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.83 : 42,539.64 = 16,678.67 : x
  2. Step 2: Convert to fraction form
    30,825.83/42,539.64 = 16,678.67/x
  3. Step 3: Cross multiply
    30,825.83x = 42,539.64 × 16,678.67
  4. Step 4: Simplify right side
    30,825.83x = 709,504,534.09
  5. Step 5: Solve for x
    x = 709,504,534.09/30,825.83
  6. Step 6: Final answer
    x = 23,016.56

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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.