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Finding the Fourth Proportional to 85,409.43, 117,856.02 and 49,592.43

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Solution

The fourth proportional to 85,409.43, 117,856.02 and 49,592.43 is: 68,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.43 : 117,856.02 = 49,592.43 : x
  2. Step 2: Convert to fraction form
    85,409.43/117,856.02 = 49,592.43/x
  3. Step 3: Cross multiply
    85,409.43x = 117,856.02 × 49,592.43
  4. Step 4: Simplify right side
    85,409.43x = 5,844,766,421.93
  5. Step 5: Solve for x
    x = 5,844,766,421.93/85,409.43
  6. Step 6: Final answer
    x = 68,432.33

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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.