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Finding the Fourth Proportional to 106,796.57, 160,069.10 and 43,577.24

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Solution

The fourth proportional to 106,796.57, 160,069.10 and 43,577.24 is: 65,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,796.57 : 160,069.10 = 43,577.24 : x
  2. Step 2: Convert to fraction form
    106,796.57/160,069.10 = 43,577.24/x
  3. Step 3: Cross multiply
    106,796.57x = 160,069.10 × 43,577.24
  4. Step 4: Simplify right side
    106,796.57x = 6,975,368,569.05
  5. Step 5: Solve for x
    x = 6,975,368,569.05/106,796.57
  6. Step 6: Final answer
    x = 65,314.54

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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.