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Finding the Fourth Proportional to 30,825.60, 42,539.22 and 16,678.38

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Solution

The fourth proportional to 30,825.60, 42,539.22 and 16,678.38 is: 23,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.60 : 42,539.22 = 16,678.38 : x
  2. Step 2: Convert to fraction form
    30,825.60/42,539.22 = 16,678.38/x
  3. Step 3: Cross multiply
    30,825.60x = 42,539.22 × 16,678.38
  4. Step 4: Simplify right side
    30,825.60x = 709,485,276.06
  5. Step 5: Solve for x
    x = 709,485,276.06/30,825.60
  6. Step 6: Final answer
    x = 23,016.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.