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Finding the Fourth Proportional to 100,426.14, 150,637.32 and 24,525.90

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Solution

The fourth proportional to 100,426.14, 150,637.32 and 24,525.90 is: 36,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,426.14 : 150,637.32 = 24,525.90 : x
  2. Step 2: Convert to fraction form
    100,426.14/150,637.32 = 24,525.90/x
  3. Step 3: Cross multiply
    100,426.14x = 150,637.32 × 24,525.90
  4. Step 4: Simplify right side
    100,426.14x = 3,694,515,846.59
  5. Step 5: Solve for x
    x = 3,694,515,846.59/100,426.14
  6. Step 6: Final answer
    x = 36,788.39

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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.