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Finding the Fourth Proportional to 77,226.75, 106,517.97 and 70,873.85

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Solution

The fourth proportional to 77,226.75, 106,517.97 and 70,873.85 is: 97,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,226.75 : 106,517.97 = 70,873.85 : x
  2. Step 2: Convert to fraction form
    77,226.75/106,517.97 = 70,873.85/x
  3. Step 3: Cross multiply
    77,226.75x = 106,517.97 × 70,873.85
  4. Step 4: Simplify right side
    77,226.75x = 7,549,338,894.38
  5. Step 5: Solve for x
    x = 7,549,338,894.38/77,226.75
  6. Step 6: Final answer
    x = 97,755.49

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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.