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Finding the Fourth Proportional to 41,294.56, 56,984.16 and 23,393.98

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Solution

The fourth proportional to 41,294.56, 56,984.16 and 23,393.98 is: 32,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,294.56 : 56,984.16 = 23,393.98 : x
  2. Step 2: Convert to fraction form
    41,294.56/56,984.16 = 23,393.98/x
  3. Step 3: Cross multiply
    41,294.56x = 56,984.16 × 23,393.98
  4. Step 4: Simplify right side
    41,294.56x = 1,333,086,299.36
  5. Step 5: Solve for x
    x = 1,333,086,299.36/41,294.56
  6. Step 6: Final answer
    x = 32,282.37

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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.