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Finding the Fourth Proportional to 75,309.86, 103,927.73 and 41,775.86

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Solution

The fourth proportional to 75,309.86, 103,927.73 and 41,775.86 is: 57,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.86 : 103,927.73 = 41,775.86 : x
  2. Step 2: Convert to fraction form
    75,309.86/103,927.73 = 41,775.86/x
  3. Step 3: Cross multiply
    75,309.86x = 103,927.73 × 41,775.86
  4. Step 4: Simplify right side
    75,309.86x = 4,341,670,298.60
  5. Step 5: Solve for x
    x = 4,341,670,298.60/75,309.86
  6. Step 6: Final answer
    x = 57,650.76

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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.