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Finding the Fourth Proportional to 75,880.48, 113,809.94 and 41,696.86

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Solution

The fourth proportional to 75,880.48, 113,809.94 and 41,696.86 is: 62,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880.48 : 113,809.94 = 41,696.86 : x
  2. Step 2: Convert to fraction form
    75,880.48/113,809.94 = 41,696.86/x
  3. Step 3: Cross multiply
    75,880.48x = 113,809.94 × 41,696.86
  4. Step 4: Simplify right side
    75,880.48x = 4,745,517,134.79
  5. Step 5: Solve for x
    x = 4,745,517,134.79/75,880.48
  6. Step 6: Final answer
    x = 62,539.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.