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Finding the Fourth Proportional to 106,381.92, 159,573.39 and 31,503.48

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Solution

The fourth proportional to 106,381.92, 159,573.39 and 31,503.48 is: 47,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,381.92 : 159,573.39 = 31,503.48 : x
  2. Step 2: Convert to fraction form
    106,381.92/159,573.39 = 31,503.48/x
  3. Step 3: Cross multiply
    106,381.92x = 159,573.39 × 31,503.48
  4. Step 4: Simplify right side
    106,381.92x = 5,027,117,100.40
  5. Step 5: Solve for x
    x = 5,027,117,100.40/106,381.92
  6. Step 6: Final answer
    x = 47,255.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.