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Finding the Fourth Proportional to 85,181.94, 117,544.07 and 48,894.49

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Solution

The fourth proportional to 85,181.94, 117,544.07 and 48,894.49 is: 67,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,181.94 : 117,544.07 = 48,894.49 : x
  2. Step 2: Convert to fraction form
    85,181.94/117,544.07 = 48,894.49/x
  3. Step 3: Cross multiply
    85,181.94x = 117,544.07 × 48,894.49
  4. Step 4: Simplify right side
    85,181.94x = 5,747,257,031.91
  5. Step 5: Solve for x
    x = 5,747,257,031.91/85,181.94
  6. Step 6: Final answer
    x = 67,470.37

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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.