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Finding the Fourth Proportional to 106,941.96, 160,412.74 and 43,791.52

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Solution

The fourth proportional to 106,941.96, 160,412.74 and 43,791.52 is: 65,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,941.96 : 160,412.74 = 43,791.52 : x
  2. Step 2: Convert to fraction form
    106,941.96/160,412.74 = 43,791.52/x
  3. Step 3: Cross multiply
    106,941.96x = 160,412.74 × 43,791.52
  4. Step 4: Simplify right side
    106,941.96x = 7,024,717,711.96
  5. Step 5: Solve for x
    x = 7,024,717,711.96/106,941.96
  6. Step 6: Final answer
    x = 65,687.20

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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.