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Finding the Fourth Proportional to 85,841.14, 128,797.14 and 46,351.75

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Solution

The fourth proportional to 85,841.14, 128,797.14 and 46,351.75 is: 69,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,841.14 : 128,797.14 = 46,351.75 : x
  2. Step 2: Convert to fraction form
    85,841.14/128,797.14 = 46,351.75/x
  3. Step 3: Cross multiply
    85,841.14x = 128,797.14 × 46,351.75
  4. Step 4: Simplify right side
    85,841.14x = 5,969,972,834.00
  5. Step 5: Solve for x
    x = 5,969,972,834.00/85,841.14
  6. Step 6: Final answer
    x = 69,546.76

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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.