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Finding the Fourth Proportional to 46,796.64, 64,584.32 and 27,682.80

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Solution

The fourth proportional to 46,796.64, 64,584.32 and 27,682.80 is: 38,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,796.64 : 64,584.32 = 27,682.80 : x
  2. Step 2: Convert to fraction form
    46,796.64/64,584.32 = 27,682.80/x
  3. Step 3: Cross multiply
    46,796.64x = 64,584.32 × 27,682.80
  4. Step 4: Simplify right side
    46,796.64x = 1,787,874,813.70
  5. Step 5: Solve for x
    x = 1,787,874,813.70/46,796.64
  6. Step 6: Final answer
    x = 38,205.20

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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.