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Finding the Fourth Proportional to 56,777, 78,352.26 and 31,625.96

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Solution

The fourth proportional to 56,777, 78,352.26 and 31,625.96 is: 43,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,777 : 78,352.26 = 31,625.96 : x
  2. Step 2: Convert to fraction form
    56,777/78,352.26 = 31,625.96/x
  3. Step 3: Cross multiply
    56,777x = 78,352.26 × 31,625.96
  4. Step 4: Simplify right side
    56,777x = 2,477,965,440.67
  5. Step 5: Solve for x
    x = 2,477,965,440.67/56,777
  6. Step 6: Final answer
    x = 43,643.82

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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.