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Finding the Fourth Proportional to 36,053.50, 54,080.26 and 11,429.50

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Solution

The fourth proportional to 36,053.50, 54,080.26 and 11,429.50 is: 17,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,053.50 : 54,080.26 = 11,429.50 : x
  2. Step 2: Convert to fraction form
    36,053.50/54,080.26 = 11,429.50/x
  3. Step 3: Cross multiply
    36,053.50x = 54,080.26 × 11,429.50
  4. Step 4: Simplify right side
    36,053.50x = 618,110,331.67
  5. Step 5: Solve for x
    x = 618,110,331.67/36,053.50
  6. Step 6: Final answer
    x = 17,144.25

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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.