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Finding the Fourth Proportional to 40,751.41, 56,236.90 and 22,846.42

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Solution

The fourth proportional to 40,751.41, 56,236.90 and 22,846.42 is: 31,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,751.41 : 56,236.90 = 22,846.42 : x
  2. Step 2: Convert to fraction form
    40,751.41/56,236.90 = 22,846.42/x
  3. Step 3: Cross multiply
    40,751.41x = 56,236.90 × 22,846.42
  4. Step 4: Simplify right side
    40,751.41x = 1,284,811,555.71
  5. Step 5: Solve for x
    x = 1,284,811,555.71/40,751.41
  6. Step 6: Final answer
    x = 31,528.03

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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.