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Finding the Fourth Proportional to 100,634.88, 150,970.56 and 41,438.28

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Solution

The fourth proportional to 100,634.88, 150,970.56 and 41,438.28 is: 62,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,634.88 : 150,970.56 = 41,438.28 : x
  2. Step 2: Convert to fraction form
    100,634.88/150,970.56 = 41,438.28/x
  3. Step 3: Cross multiply
    100,634.88x = 150,970.56 × 41,438.28
  4. Step 4: Simplify right side
    100,634.88x = 6,255,960,337.04
  5. Step 5: Solve for x
    x = 6,255,960,337.04/100,634.88
  6. Step 6: Final answer
    x = 62,164.93

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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.