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Finding the Fourth Proportional to 40,928.50, 56,481.60 and 23,023.36

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Solution

The fourth proportional to 40,928.50, 56,481.60 and 23,023.36 is: 31,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,928.50 : 56,481.60 = 23,023.36 : x
  2. Step 2: Convert to fraction form
    40,928.50/56,481.60 = 23,023.36/x
  3. Step 3: Cross multiply
    40,928.50x = 56,481.60 × 23,023.36
  4. Step 4: Simplify right side
    40,928.50x = 1,300,396,210.18
  5. Step 5: Solve for x
    x = 1,300,396,210.18/40,928.50
  6. Step 6: Final answer
    x = 31,772.39

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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.