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Finding the Fourth Proportional to 100,662.31, 150,862.24 and 41,438.35

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Solution

The fourth proportional to 100,662.31, 150,862.24 and 41,438.35 is: 62,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,662.31 : 150,862.24 = 41,438.35 : x
  2. Step 2: Convert to fraction form
    100,662.31/150,862.24 = 41,438.35/x
  3. Step 3: Cross multiply
    100,662.31x = 150,862.24 × 41,438.35
  4. Step 4: Simplify right side
    100,662.31x = 6,251,482,302.90
  5. Step 5: Solve for x
    x = 6,251,482,302.90/100,662.31
  6. Step 6: Final answer
    x = 62,103.51

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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.