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Finding the Fourth Proportional to 30,998.88, 42,783.12 and 18,906.38

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Solution

The fourth proportional to 30,998.88, 42,783.12 and 18,906.38 is: 26,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.88 : 42,783.12 = 18,906.38 : x
  2. Step 2: Convert to fraction form
    30,998.88/42,783.12 = 18,906.38/x
  3. Step 3: Cross multiply
    30,998.88x = 42,783.12 × 18,906.38
  4. Step 4: Simplify right side
    30,998.88x = 808,873,710.39
  5. Step 5: Solve for x
    x = 808,873,710.39/30,998.88
  6. Step 6: Final answer
    x = 26,093.64

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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.