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Finding the Fourth Proportional to 107,367.68, 161,071.32 and 35,324.64

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Solution

The fourth proportional to 107,367.68, 161,071.32 and 35,324.64 is: 52,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,367.68 : 161,071.32 = 35,324.64 : x
  2. Step 2: Convert to fraction form
    107,367.68/161,071.32 = 35,324.64/x
  3. Step 3: Cross multiply
    107,367.68x = 161,071.32 × 35,324.64
  4. Step 4: Simplify right side
    107,367.68x = 5,689,786,393.32
  5. Step 5: Solve for x
    x = 5,689,786,393.32/107,367.68
  6. Step 6: Final answer
    x = 52,993.47

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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.