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Finding the Fourth Proportional to 40,995.82, 61,493.75 and 31,649.50

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Solution

The fourth proportional to 40,995.82, 61,493.75 and 31,649.50 is: 47,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,995.82 : 61,493.75 = 31,649.50 : x
  2. Step 2: Convert to fraction form
    40,995.82/61,493.75 = 31,649.50/x
  3. Step 3: Cross multiply
    40,995.82x = 61,493.75 × 31,649.50
  4. Step 4: Simplify right side
    40,995.82x = 1,946,246,477.93
  5. Step 5: Solve for x
    x = 1,946,246,477.93/40,995.82
  6. Step 6: Final answer
    x = 47,474.26

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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.