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Finding the Fourth Proportional to 75,407.26, 104,062 and 41,873.26

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Solution

The fourth proportional to 75,407.26, 104,062 and 41,873.26 is: 57,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,407.26 : 104,062 = 41,873.26 : x
  2. Step 2: Convert to fraction form
    75,407.26/104,062 = 41,873.26/x
  3. Step 3: Cross multiply
    75,407.26x = 104,062 × 41,873.26
  4. Step 4: Simplify right side
    75,407.26x = 4,357,415,182.12
  5. Step 5: Solve for x
    x = 4,357,415,182.12/75,407.26
  6. Step 6: Final answer
    x = 57,785.09

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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.