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Finding the Fourth Proportional to 36,649.97, 54,978.04 and 11,693.57

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Solution

The fourth proportional to 36,649.97, 54,978.04 and 11,693.57 is: 17,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.97 : 54,978.04 = 11,693.57 : x
  2. Step 2: Convert to fraction form
    36,649.97/54,978.04 = 11,693.57/x
  3. Step 3: Cross multiply
    36,649.97x = 54,978.04 × 11,693.57
  4. Step 4: Simplify right side
    36,649.97x = 642,889,298.93
  5. Step 5: Solve for x
    x = 642,889,298.93/36,649.97
  6. Step 6: Final answer
    x = 17,541.33

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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.