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Finding the Fourth Proportional to 57,110.88, 78,813.18 and 31,960.38

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Solution

The fourth proportional to 57,110.88, 78,813.18 and 31,960.38 is: 44,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,110.88 : 78,813.18 = 31,960.38 : x
  2. Step 2: Convert to fraction form
    57,110.88/78,813.18 = 31,960.38/x
  3. Step 3: Cross multiply
    57,110.88x = 78,813.18 × 31,960.38
  4. Step 4: Simplify right side
    57,110.88x = 2,518,899,181.81
  5. Step 5: Solve for x
    x = 2,518,899,181.81/57,110.88
  6. Step 6: Final answer
    x = 44,105.42

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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.