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Finding the Fourth Proportional to 100,577.64, 150,636.78 and 48,024.12

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Solution

The fourth proportional to 100,577.64, 150,636.78 and 48,024.12 is: 71,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.64 : 150,636.78 = 48,024.12 : x
  2. Step 2: Convert to fraction form
    100,577.64/150,636.78 = 48,024.12/x
  3. Step 3: Cross multiply
    100,577.64x = 150,636.78 × 48,024.12
  4. Step 4: Simplify right side
    100,577.64x = 7,234,198,799.13
  5. Step 5: Solve for x
    x = 7,234,198,799.13/100,577.64
  6. Step 6: Final answer
    x = 71,926.51

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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.