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Finding the Fourth Proportional to 84,100.68, 126,193.68 and 46,653.84

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Solution

The fourth proportional to 84,100.68, 126,193.68 and 46,653.84 is: 70,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,100.68 : 126,193.68 = 46,653.84 : x
  2. Step 2: Convert to fraction form
    84,100.68/126,193.68 = 46,653.84/x
  3. Step 3: Cross multiply
    84,100.68x = 126,193.68 × 46,653.84
  4. Step 4: Simplify right side
    84,100.68x = 5,887,419,755.73
  5. Step 5: Solve for x
    x = 5,887,419,755.73/84,100.68
  6. Step 6: Final answer
    x = 70,004.43

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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.