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Finding the Fourth Proportional to 106,194.92, 159,315.42 and 32,321

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Solution

The fourth proportional to 106,194.92, 159,315.42 and 32,321 is: 48,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,194.92 : 159,315.42 = 32,321 : x
  2. Step 2: Convert to fraction form
    106,194.92/159,315.42 = 32,321/x
  3. Step 3: Cross multiply
    106,194.92x = 159,315.42 × 32,321
  4. Step 4: Simplify right side
    106,194.92x = 5,149,233,689.82
  5. Step 5: Solve for x
    x = 5,149,233,689.82/106,194.92
  6. Step 6: Final answer
    x = 48,488.51

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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.