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Finding the Fourth Proportional to 100,960.76, 151,411.97 and 34,399.41

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Solution

The fourth proportional to 100,960.76, 151,411.97 and 34,399.41 is: 51,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,960.76 : 151,411.97 = 34,399.41 : x
  2. Step 2: Convert to fraction form
    100,960.76/151,411.97 = 34,399.41/x
  3. Step 3: Cross multiply
    100,960.76x = 151,411.97 × 34,399.41
  4. Step 4: Simplify right side
    100,960.76x = 5,208,482,262.94
  5. Step 5: Solve for x
    x = 5,208,482,262.94/100,960.76
  6. Step 6: Final answer
    x = 51,589.18

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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.