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Finding the Fourth Proportional to 81,651.50, 122,485 and 31,735.46

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Solution

The fourth proportional to 81,651.50, 122,485 and 31,735.46 is: 47,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.50 : 122,485 = 31,735.46 : x
  2. Step 2: Convert to fraction form
    81,651.50/122,485 = 31,735.46/x
  3. Step 3: Cross multiply
    81,651.50x = 122,485 × 31,735.46
  4. Step 4: Simplify right side
    81,651.50x = 3,887,117,818.10
  5. Step 5: Solve for x
    x = 3,887,117,818.10/81,651.50
  6. Step 6: Final answer
    x = 47,606.20

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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.