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Finding the Fourth Proportional to 85,091.75, 127,622.58 and 31,771.76

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Solution

The fourth proportional to 85,091.75, 127,622.58 and 31,771.76 is: 47,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,091.75 : 127,622.58 = 31,771.76 : x
  2. Step 2: Convert to fraction form
    85,091.75/127,622.58 = 31,771.76/x
  3. Step 3: Cross multiply
    85,091.75x = 127,622.58 × 31,771.76
  4. Step 4: Simplify right side
    85,091.75x = 4,054,793,982.34
  5. Step 5: Solve for x
    x = 4,054,793,982.34/85,091.75
  6. Step 6: Final answer
    x = 47,652.02

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