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Finding the Fourth Proportional to 107,163.40, 160,744.30 and 32,283.24

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Solution

The fourth proportional to 107,163.40, 160,744.30 and 32,283.24 is: 48,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,163.40 : 160,744.30 = 32,283.24 : x
  2. Step 2: Convert to fraction form
    107,163.40/160,744.30 = 32,283.24/x
  3. Step 3: Cross multiply
    107,163.40x = 160,744.30 × 32,283.24
  4. Step 4: Simplify right side
    107,163.40x = 5,189,346,815.53
  5. Step 5: Solve for x
    x = 5,189,346,815.53/107,163.40
  6. Step 6: Final answer
    x = 48,424.62

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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.