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Finding the Fourth Proportional to 117,286.92, 175,930.56 and 28,539.90

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Solution

The fourth proportional to 117,286.92, 175,930.56 and 28,539.90 is: 42,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,286.92 : 175,930.56 = 28,539.90 : x
  2. Step 2: Convert to fraction form
    117,286.92/175,930.56 = 28,539.90/x
  3. Step 3: Cross multiply
    117,286.92x = 175,930.56 × 28,539.90
  4. Step 4: Simplify right side
    117,286.92x = 5,021,040,589.34
  5. Step 5: Solve for x
    x = 5,021,040,589.34/117,286.92
  6. Step 6: Final answer
    x = 42,809.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.