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Finding the Fourth Proportional to 30,788.25, 42,486.92 and 17,359.38

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Solution

The fourth proportional to 30,788.25, 42,486.92 and 17,359.38 is: 23,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.25 : 42,486.92 = 17,359.38 : x
  2. Step 2: Convert to fraction form
    30,788.25/42,486.92 = 17,359.38/x
  3. Step 3: Cross multiply
    30,788.25x = 42,486.92 × 17,359.38
  4. Step 4: Simplify right side
    30,788.25x = 737,546,589.31
  5. Step 5: Solve for x
    x = 737,546,589.31/30,788.25
  6. Step 6: Final answer
    x = 23,955.46

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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.