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Finding the Fourth Proportional to 106,546.87, 159,792.63 and 31,649.41

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Solution

The fourth proportional to 106,546.87, 159,792.63 and 31,649.41 is: 47,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.87 : 159,792.63 = 31,649.41 : x
  2. Step 2: Convert to fraction form
    106,546.87/159,792.63 = 31,649.41/x
  3. Step 3: Cross multiply
    106,546.87x = 159,792.63 × 31,649.41
  4. Step 4: Simplify right side
    106,546.87x = 5,057,342,461.85
  5. Step 5: Solve for x
    x = 5,057,342,461.85/106,546.87
  6. Step 6: Final answer
    x = 47,465.89

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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.