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Finding the Fourth Proportional to 75,871.80, 113,894.10 and 44,724.60

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Solution

The fourth proportional to 75,871.80, 113,894.10 and 44,724.60 is: 67,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.80 : 113,894.10 = 44,724.60 : x
  2. Step 2: Convert to fraction form
    75,871.80/113,894.10 = 44,724.60/x
  3. Step 3: Cross multiply
    75,871.80x = 113,894.10 × 44,724.60
  4. Step 4: Simplify right side
    75,871.80x = 5,093,868,064.86
  5. Step 5: Solve for x
    x = 5,093,868,064.86/75,871.80
  6. Step 6: Final answer
    x = 67,137.83

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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.