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Finding the Fourth Proportional to 46,842.88, 64,664.96 and 27,716.64

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Solution

The fourth proportional to 46,842.88, 64,664.96 and 27,716.64 is: 38,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,842.88 : 64,664.96 = 27,716.64 : x
  2. Step 2: Convert to fraction form
    46,842.88/64,664.96 = 27,716.64/x
  3. Step 3: Cross multiply
    46,842.88x = 64,664.96 × 27,716.64
  4. Step 4: Simplify right side
    46,842.88x = 1,792,295,416.93
  5. Step 5: Solve for x
    x = 1,792,295,416.93/46,842.88
  6. Step 6: Final answer
    x = 38,261.85

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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.