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Finding the Fourth Proportional to 30,825.68, 42,539.43 and 16,678.52

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Solution

The fourth proportional to 30,825.68, 42,539.43 and 16,678.52 is: 23,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.68 : 42,539.43 = 16,678.52 : x
  2. Step 2: Convert to fraction form
    30,825.68/42,539.43 = 16,678.52/x
  3. Step 3: Cross multiply
    30,825.68x = 42,539.43 × 16,678.52
  4. Step 4: Simplify right side
    30,825.68x = 709,494,734.04
  5. Step 5: Solve for x
    x = 709,494,734.04/30,825.68
  6. Step 6: Final answer
    x = 23,016.36

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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.