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Finding the Fourth Proportional to 75,641.59, 104,388.24 and 41,651.56

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Solution

The fourth proportional to 75,641.59, 104,388.24 and 41,651.56 is: 57,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.59 : 104,388.24 = 41,651.56 : x
  2. Step 2: Convert to fraction form
    75,641.59/104,388.24 = 41,651.56/x
  3. Step 3: Cross multiply
    75,641.59x = 104,388.24 × 41,651.56
  4. Step 4: Simplify right side
    75,641.59x = 4,347,933,041.65
  5. Step 5: Solve for x
    x = 4,347,933,041.65/75,641.59
  6. Step 6: Final answer
    x = 57,480.72

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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.