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Finding the Fourth Proportional to 40,996.82, 61,495.25 and 31,650.50

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Solution

The fourth proportional to 40,996.82, 61,495.25 and 31,650.50 is: 47,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,996.82 : 61,495.25 = 31,650.50 : x
  2. Step 2: Convert to fraction form
    40,996.82/61,495.25 = 31,650.50/x
  3. Step 3: Cross multiply
    40,996.82x = 61,495.25 × 31,650.50
  4. Step 4: Simplify right side
    40,996.82x = 1,946,355,410.13
  5. Step 5: Solve for x
    x = 1,946,355,410.13/40,996.82
  6. Step 6: Final answer
    x = 47,475.77

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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.