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Finding the Fourth Proportional to 30,992.41, 42,770.80 and 17,563.52

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Solution

The fourth proportional to 30,992.41, 42,770.80 and 17,563.52 is: 24,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.41 : 42,770.80 = 17,563.52 : x
  2. Step 2: Convert to fraction form
    30,992.41/42,770.80 = 17,563.52/x
  3. Step 3: Cross multiply
    30,992.41x = 42,770.80 × 17,563.52
  4. Step 4: Simplify right side
    30,992.41x = 751,205,801.22
  5. Step 5: Solve for x
    x = 751,205,801.22/30,992.41
  6. Step 6: Final answer
    x = 24,238.38

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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.