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Finding the Fourth Proportional to 46,540.68, 64,226.57 and 27,674.16

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Solution

The fourth proportional to 46,540.68, 64,226.57 and 27,674.16 is: 38,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,540.68 : 64,226.57 = 27,674.16 : x
  2. Step 2: Convert to fraction form
    46,540.68/64,226.57 = 27,674.16/x
  3. Step 3: Cross multiply
    46,540.68x = 64,226.57 × 27,674.16
  4. Step 4: Simplify right side
    46,540.68x = 1,777,416,150.88
  5. Step 5: Solve for x
    x = 1,777,416,150.88/46,540.68
  6. Step 6: Final answer
    x = 38,190.60

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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.