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Finding the Fourth Proportional to 53,832.60, 74,288.26 and 29,959.27

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Solution

The fourth proportional to 53,832.60, 74,288.26 and 29,959.27 is: 41,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832.60 : 74,288.26 = 29,959.27 : x
  2. Step 2: Convert to fraction form
    53,832.60/74,288.26 = 29,959.27/x
  3. Step 3: Cross multiply
    53,832.60x = 74,288.26 × 29,959.27
  4. Step 4: Simplify right side
    53,832.60x = 2,225,622,255.68
  5. Step 5: Solve for x
    x = 2,225,622,255.68/53,832.60
  6. Step 6: Final answer
    x = 41,343.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.