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Finding the Fourth Proportional to 105,671.28, 158,531.22 and 34,596.21

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Solution

The fourth proportional to 105,671.28, 158,531.22 and 34,596.21 is: 51,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,671.28 : 158,531.22 = 34,596.21 : x
  2. Step 2: Convert to fraction form
    105,671.28/158,531.22 = 34,596.21/x
  3. Step 3: Cross multiply
    105,671.28x = 158,531.22 × 34,596.21
  4. Step 4: Simplify right side
    105,671.28x = 5,484,579,378.68
  5. Step 5: Solve for x
    x = 5,484,579,378.68/105,671.28
  6. Step 6: Final answer
    x = 51,902.27

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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.