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Finding the Fourth Proportional to 115,978.23, 173,965.05 and 37,092.33

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Solution

The fourth proportional to 115,978.23, 173,965.05 and 37,092.33 is: 55,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,978.23 : 173,965.05 = 37,092.33 : x
  2. Step 2: Convert to fraction form
    115,978.23/173,965.05 = 37,092.33/x
  3. Step 3: Cross multiply
    115,978.23x = 173,965.05 × 37,092.33
  4. Step 4: Simplify right side
    115,978.23x = 6,452,769,043.07
  5. Step 5: Solve for x
    x = 6,452,769,043.07/115,978.23
  6. Step 6: Final answer
    x = 55,637.76

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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.