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Finding the Fourth Proportional to 100,577.68, 150,894.77 and 29,502

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Solution

The fourth proportional to 100,577.68, 150,894.77 and 29,502 is: 44,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.68 : 150,894.77 = 29,502 : x
  2. Step 2: Convert to fraction form
    100,577.68/150,894.77 = 29,502/x
  3. Step 3: Cross multiply
    100,577.68x = 150,894.77 × 29,502
  4. Step 4: Simplify right side
    100,577.68x = 4,451,697,357.03
  5. Step 5: Solve for x
    x = 4,451,697,357.03/100,577.68
  6. Step 6: Final answer
    x = 44,261.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.