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Finding the Fourth Proportional to 56,773.91, 78,351.50 and 31,623.41

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Solution

The fourth proportional to 56,773.91, 78,351.50 and 31,623.41 is: 43,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,773.91 : 78,351.50 = 31,623.41 : x
  2. Step 2: Convert to fraction form
    56,773.91/78,351.50 = 31,623.41/x
  3. Step 3: Cross multiply
    56,773.91x = 78,351.50 × 31,623.41
  4. Step 4: Simplify right side
    56,773.91x = 2,477,741,608.62
  5. Step 5: Solve for x
    x = 2,477,741,608.62/56,773.91
  6. Step 6: Final answer
    x = 43,642.26

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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.