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Finding the Fourth Proportional to 30,993.91, 42,770.19 and 17,564.38

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Solution

The fourth proportional to 30,993.91, 42,770.19 and 17,564.38 is: 24,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.91 : 42,770.19 = 17,564.38 : x
  2. Step 2: Convert to fraction form
    30,993.91/42,770.19 = 17,564.38/x
  3. Step 3: Cross multiply
    30,993.91x = 42,770.19 × 17,564.38
  4. Step 4: Simplify right side
    30,993.91x = 751,231,869.83
  5. Step 5: Solve for x
    x = 751,231,869.83/30,993.91
  6. Step 6: Final answer
    x = 24,238.05

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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.