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Finding the Fourth Proportional to 85,090.75, 127,621.08 and 31,770.76

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Solution

The fourth proportional to 85,090.75, 127,621.08 and 31,770.76 is: 47,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,090.75 : 127,621.08 = 31,770.76 : x
  2. Step 2: Convert to fraction form
    85,090.75/127,621.08 = 31,770.76/x
  3. Step 3: Cross multiply
    85,090.75x = 127,621.08 × 31,770.76
  4. Step 4: Simplify right side
    85,090.75x = 4,054,618,703.62
  5. Step 5: Solve for x
    x = 4,054,618,703.62/85,090.75
  6. Step 6: Final answer
    x = 47,650.52

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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.