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Finding the Fourth Proportional to 75,275, 103,879.50 and 41,741

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Solution

The fourth proportional to 75,275, 103,879.50 and 41,741 is: 57,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,275 : 103,879.50 = 41,741 : x
  2. Step 2: Convert to fraction form
    75,275/103,879.50 = 41,741/x
  3. Step 3: Cross multiply
    75,275x = 103,879.50 × 41,741
  4. Step 4: Simplify right side
    75,275x = 4,336,034,209.50
  5. Step 5: Solve for x
    x = 4,336,034,209.50/75,275
  6. Step 6: Final answer
    x = 57,602.58

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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.