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Finding the Fourth Proportional to 36,659.32, 54,962.06 and 11,684.98

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Solution

The fourth proportional to 36,659.32, 54,962.06 and 11,684.98 is: 17,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,659.32 : 54,962.06 = 11,684.98 : x
  2. Step 2: Convert to fraction form
    36,659.32/54,962.06 = 11,684.98/x
  3. Step 3: Cross multiply
    36,659.32x = 54,962.06 × 11,684.98
  4. Step 4: Simplify right side
    36,659.32x = 642,230,571.86
  5. Step 5: Solve for x
    x = 642,230,571.86/36,659.32
  6. Step 6: Final answer
    x = 17,518.89

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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.