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Finding the Fourth Proportional to 48,474.96, 66,905.02 and 31,455.30

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Solution

The fourth proportional to 48,474.96, 66,905.02 and 31,455.30 is: 43,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.96 : 66,905.02 = 31,455.30 : x
  2. Step 2: Convert to fraction form
    48,474.96/66,905.02 = 31,455.30/x
  3. Step 3: Cross multiply
    48,474.96x = 66,905.02 × 31,455.30
  4. Step 4: Simplify right side
    48,474.96x = 2,104,517,765.82
  5. Step 5: Solve for x
    x = 2,104,517,765.82/48,474.96
  6. Step 6: Final answer
    x = 43,414.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.