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Finding the Fourth Proportional to 65,198.80, 89,845.32 and 46,282.96

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Solution

The fourth proportional to 65,198.80, 89,845.32 and 46,282.96 is: 63,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.80 : 89,845.32 = 46,282.96 : x
  2. Step 2: Convert to fraction form
    65,198.80/89,845.32 = 46,282.96/x
  3. Step 3: Cross multiply
    65,198.80x = 89,845.32 × 46,282.96
  4. Step 4: Simplify right side
    65,198.80x = 4,158,307,351.75
  5. Step 5: Solve for x
    x = 4,158,307,351.75/65,198.80
  6. Step 6: Final answer
    x = 63,778.89

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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.