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Finding the Fourth Proportional to 75,481, 104,163.84 and 41,947

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Solution

The fourth proportional to 75,481, 104,163.84 and 41,947 is: 57,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,481 : 104,163.84 = 41,947 : x
  2. Step 2: Convert to fraction form
    75,481/104,163.84 = 41,947/x
  3. Step 3: Cross multiply
    75,481x = 104,163.84 × 41,947
  4. Step 4: Simplify right side
    75,481x = 4,369,360,596.48
  5. Step 5: Solve for x
    x = 4,369,360,596.48/75,481
  6. Step 6: Final answer
    x = 57,886.89

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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.