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Finding the Fourth Proportional to 30,825.59, 42,539.58 and 16,678.71

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Solution

The fourth proportional to 30,825.59, 42,539.58 and 16,678.71 is: 23,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.59 : 42,539.58 = 16,678.71 : x
  2. Step 2: Convert to fraction form
    30,825.59/42,539.58 = 16,678.71/x
  3. Step 3: Cross multiply
    30,825.59x = 42,539.58 × 16,678.71
  4. Step 4: Simplify right side
    30,825.59x = 709,505,318.34
  5. Step 5: Solve for x
    x = 709,505,318.34/30,825.59
  6. Step 6: Final answer
    x = 23,016.77

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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.