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Finding the Fourth Proportional to 40,731.57, 56,205 and 22,824

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Solution

The fourth proportional to 40,731.57, 56,205 and 22,824 is: 31,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,731.57 : 56,205 = 22,824 : x
  2. Step 2: Convert to fraction form
    40,731.57/56,205 = 22,824/x
  3. Step 3: Cross multiply
    40,731.57x = 56,205 × 22,824
  4. Step 4: Simplify right side
    40,731.57x = 1,282,822,920
  5. Step 5: Solve for x
    x = 1,282,822,920/40,731.57
  6. Step 6: Final answer
    x = 31,494.56

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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.