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Finding the Fourth Proportional to 106,894.68, 160,350.38 and 35,817.56

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Solution

The fourth proportional to 106,894.68, 160,350.38 and 35,817.56 is: 53,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,894.68 : 160,350.38 = 35,817.56 : x
  2. Step 2: Convert to fraction form
    106,894.68/160,350.38 = 35,817.56/x
  3. Step 3: Cross multiply
    106,894.68x = 160,350.38 × 35,817.56
  4. Step 4: Simplify right side
    106,894.68x = 5,743,359,356.67
  5. Step 5: Solve for x
    x = 5,743,359,356.67/106,894.68
  6. Step 6: Final answer
    x = 53,729.14

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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.