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Finding the Fourth Proportional to 53,422.72, 73,722 and 29,548.80

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Solution

The fourth proportional to 53,422.72, 73,722 and 29,548.80 is: 40,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.72 : 73,722 = 29,548.80 : x
  2. Step 2: Convert to fraction form
    53,422.72/73,722 = 29,548.80/x
  3. Step 3: Cross multiply
    53,422.72x = 73,722 × 29,548.80
  4. Step 4: Simplify right side
    53,422.72x = 2,178,396,633.60
  5. Step 5: Solve for x
    x = 2,178,396,633.60/53,422.72
  6. Step 6: Final answer
    x = 40,776.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.