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Finding the Fourth Proportional to 36,909.36, 55,242.54 and 26,215.20

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Solution

The fourth proportional to 36,909.36, 55,242.54 and 26,215.20 is: 39,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909.36 : 55,242.54 = 26,215.20 : x
  2. Step 2: Convert to fraction form
    36,909.36/55,242.54 = 26,215.20/x
  3. Step 3: Cross multiply
    36,909.36x = 55,242.54 × 26,215.20
  4. Step 4: Simplify right side
    36,909.36x = 1,448,194,234.61
  5. Step 5: Solve for x
    x = 1,448,194,234.61/36,909.36
  6. Step 6: Final answer
    x = 39,236.50

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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.