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Finding the Fourth Proportional to 75,742, 104,524.69 and 41,751.80

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Solution

The fourth proportional to 75,742, 104,524.69 and 41,751.80 is: 57,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,742 : 104,524.69 = 41,751.80 : x
  2. Step 2: Convert to fraction form
    75,742/104,524.69 = 41,751.80/x
  3. Step 3: Cross multiply
    75,742x = 104,524.69 × 41,751.80
  4. Step 4: Simplify right side
    75,742x = 4,364,093,951.94
  5. Step 5: Solve for x
    x = 4,364,093,951.94/75,742
  6. Step 6: Final answer
    x = 57,617.89

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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.