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Finding the Fourth Proportional to 106,984.29, 160,476.29 and 32,104.32

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Solution

The fourth proportional to 106,984.29, 160,476.29 and 32,104.32 is: 48,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984.29 : 160,476.29 = 32,104.32 : x
  2. Step 2: Convert to fraction form
    106,984.29/160,476.29 = 32,104.32/x
  3. Step 3: Cross multiply
    106,984.29x = 160,476.29 × 32,104.32
  4. Step 4: Simplify right side
    106,984.29x = 5,151,981,524.66
  5. Step 5: Solve for x
    x = 5,151,981,524.66/106,984.29
  6. Step 6: Final answer
    x = 48,156.43

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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.