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Finding the Fourth Proportional to 97,886.67, 146,817.48 and 31,321.23

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Solution

The fourth proportional to 97,886.67, 146,817.48 and 31,321.23 is: 46,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886.67 : 146,817.48 = 31,321.23 : x
  2. Step 2: Convert to fraction form
    97,886.67/146,817.48 = 31,321.23/x
  3. Step 3: Cross multiply
    97,886.67x = 146,817.48 × 31,321.23
  4. Step 4: Simplify right side
    97,886.67x = 4,598,504,059.10
  5. Step 5: Solve for x
    x = 4,598,504,059.10/97,886.67
  6. Step 6: Final answer
    x = 46,977.84

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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.