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Finding the Fourth Proportional to 100,233.60, 150,337.44 and 37,896

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Solution

The fourth proportional to 100,233.60, 150,337.44 and 37,896 is: 56,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,233.60 : 150,337.44 = 37,896 : x
  2. Step 2: Convert to fraction form
    100,233.60/150,337.44 = 37,896/x
  3. Step 3: Cross multiply
    100,233.60x = 150,337.44 × 37,896
  4. Step 4: Simplify right side
    100,233.60x = 5,697,187,626.24
  5. Step 5: Solve for x
    x = 5,697,187,626.24/100,233.60
  6. Step 6: Final answer
    x = 56,839.10

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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.