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Finding the Fourth Proportional to 113,654.80, 170,481.96 and 30,548.80

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Solution

The fourth proportional to 113,654.80, 170,481.96 and 30,548.80 is: 45,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,654.80 : 170,481.96 = 30,548.80 : x
  2. Step 2: Convert to fraction form
    113,654.80/170,481.96 = 30,548.80/x
  3. Step 3: Cross multiply
    113,654.80x = 170,481.96 × 30,548.80
  4. Step 4: Simplify right side
    113,654.80x = 5,208,019,299.65
  5. Step 5: Solve for x
    x = 5,208,019,299.65/113,654.80
  6. Step 6: Final answer
    x = 45,823.14

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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.