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Finding the Fourth Proportional to 100,632.62, 150,967.18 and 41,436

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Solution

The fourth proportional to 100,632.62, 150,967.18 and 41,436 is: 62,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,632.62 : 150,967.18 = 41,436 : x
  2. Step 2: Convert to fraction form
    100,632.62/150,967.18 = 41,436/x
  3. Step 3: Cross multiply
    100,632.62x = 150,967.18 × 41,436
  4. Step 4: Simplify right side
    100,632.62x = 6,255,476,070.48
  5. Step 5: Solve for x
    x = 6,255,476,070.48/100,632.62
  6. Step 6: Final answer
    x = 62,161.51

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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.