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Finding the Fourth Proportional to 106,911.95, 160,367.93 and 35,821.47

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Solution

The fourth proportional to 106,911.95, 160,367.93 and 35,821.47 is: 53,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.95 : 160,367.93 = 35,821.47 : x
  2. Step 2: Convert to fraction form
    106,911.95/160,367.93 = 35,821.47/x
  3. Step 3: Cross multiply
    106,911.95x = 160,367.93 × 35,821.47
  4. Step 4: Simplify right side
    106,911.95x = 5,744,614,096.21
  5. Step 5: Solve for x
    x = 5,744,614,096.21/106,911.95
  6. Step 6: Final answer
    x = 53,732.20

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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.