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Finding the Fourth Proportional to 57,103.88, 78,803.37 and 31,958.24

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Solution

The fourth proportional to 57,103.88, 78,803.37 and 31,958.24 is: 44,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103.88 : 78,803.37 = 31,958.24 : x
  2. Step 2: Convert to fraction form
    57,103.88/78,803.37 = 31,958.24/x
  3. Step 3: Cross multiply
    57,103.88x = 78,803.37 × 31,958.24
  4. Step 4: Simplify right side
    57,103.88x = 2,518,416,617.25
  5. Step 5: Solve for x
    x = 2,518,416,617.25/57,103.88
  6. Step 6: Final answer
    x = 44,102.38

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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.