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Finding the Fourth Proportional to 40,505, 55,896.90 and 23,738

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Solution

The fourth proportional to 40,505, 55,896.90 and 23,738 is: 32,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,505 : 55,896.90 = 23,738 : x
  2. Step 2: Convert to fraction form
    40,505/55,896.90 = 23,738/x
  3. Step 3: Cross multiply
    40,505x = 55,896.90 × 23,738
  4. Step 4: Simplify right side
    40,505x = 1,326,880,612.20
  5. Step 5: Solve for x
    x = 1,326,880,612.20/40,505
  6. Step 6: Final answer
    x = 32,758.44

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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.