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Finding the Fourth Proportional to 36,287.26, 54,419.37 and 11,657.50

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Solution

The fourth proportional to 36,287.26, 54,419.37 and 11,657.50 is: 17,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287.26 : 54,419.37 = 11,657.50 : x
  2. Step 2: Convert to fraction form
    36,287.26/54,419.37 = 11,657.50/x
  3. Step 3: Cross multiply
    36,287.26x = 54,419.37 × 11,657.50
  4. Step 4: Simplify right side
    36,287.26x = 634,393,805.78
  5. Step 5: Solve for x
    x = 634,393,805.78/36,287.26
  6. Step 6: Final answer
    x = 17,482.55

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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.