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Finding the Fourth Proportional to 106,761.98, 160,192.74 and 47,591.48

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Solution

The fourth proportional to 106,761.98, 160,192.74 and 47,591.48 is: 71,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,761.98 : 160,192.74 = 47,591.48 : x
  2. Step 2: Convert to fraction form
    106,761.98/160,192.74 = 47,591.48/x
  3. Step 3: Cross multiply
    106,761.98x = 160,192.74 × 47,591.48
  4. Step 4: Simplify right side
    106,761.98x = 7,623,809,581.86
  5. Step 5: Solve for x
    x = 7,623,809,581.86/106,761.98
  6. Step 6: Final answer
    x = 71,409.41

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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.