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Finding the Fourth Proportional to 116,697, 175,063.97 and 41,815.49

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Solution

The fourth proportional to 116,697, 175,063.97 and 41,815.49 is: 62,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,697 : 175,063.97 = 41,815.49 : x
  2. Step 2: Convert to fraction form
    116,697/175,063.97 = 41,815.49/x
  3. Step 3: Cross multiply
    116,697x = 175,063.97 × 41,815.49
  4. Step 4: Simplify right side
    116,697x = 7,320,385,686.90
  5. Step 5: Solve for x
    x = 7,320,385,686.90/116,697
  6. Step 6: Final answer
    x = 62,729.85

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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.