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Finding the Fourth Proportional to 109,367.96, 164,065.62 and 42,799.48

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Solution

The fourth proportional to 109,367.96, 164,065.62 and 42,799.48 is: 64,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,367.96 : 164,065.62 = 42,799.48 : x
  2. Step 2: Convert to fraction form
    109,367.96/164,065.62 = 42,799.48/x
  3. Step 3: Cross multiply
    109,367.96x = 164,065.62 × 42,799.48
  4. Step 4: Simplify right side
    109,367.96x = 7,021,923,221.88
  5. Step 5: Solve for x
    x = 7,021,923,221.88/109,367.96
  6. Step 6: Final answer
    x = 64,204.57

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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.