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Finding the Fourth Proportional to 100,406.25, 150,513.32 and 37,209.39

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Solution

The fourth proportional to 100,406.25, 150,513.32 and 37,209.39 is: 55,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.25 : 150,513.32 = 37,209.39 : x
  2. Step 2: Convert to fraction form
    100,406.25/150,513.32 = 37,209.39/x
  3. Step 3: Cross multiply
    100,406.25x = 150,513.32 × 37,209.39
  4. Step 4: Simplify right side
    100,406.25x = 5,600,508,638.03
  5. Step 5: Solve for x
    x = 5,600,508,638.03/100,406.25
  6. Step 6: Final answer
    x = 55,778.49

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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.