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Finding the Fourth Proportional to 75,304.86, 103,920.81 and 41,770.86

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Solution

The fourth proportional to 75,304.86, 103,920.81 and 41,770.86 is: 57,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,304.86 : 103,920.81 = 41,770.86 : x
  2. Step 2: Convert to fraction form
    75,304.86/103,920.81 = 41,770.86/x
  3. Step 3: Cross multiply
    75,304.86x = 103,920.81 × 41,770.86
  4. Step 4: Simplify right side
    75,304.86x = 4,340,861,605.60
  5. Step 5: Solve for x
    x = 4,340,861,605.60/75,304.86
  6. Step 6: Final answer
    x = 57,643.84

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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.