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Finding the Fourth Proportional to 71,770.84, 99,053.94 and 43,091.80

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Solution

The fourth proportional to 71,770.84, 99,053.94 and 43,091.80 is: 59,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.84 : 99,053.94 = 43,091.80 : x
  2. Step 2: Convert to fraction form
    71,770.84/99,053.94 = 43,091.80/x
  3. Step 3: Cross multiply
    71,770.84x = 99,053.94 × 43,091.80
  4. Step 4: Simplify right side
    71,770.84x = 4,268,412,571.69
  5. Step 5: Solve for x
    x = 4,268,412,571.69/71,770.84
  6. Step 6: Final answer
    x = 59,472.80

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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.