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Finding the Fourth Proportional to 46,476.75, 64,137.92 and 27,613.88

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Solution

The fourth proportional to 46,476.75, 64,137.92 and 27,613.88 is: 38,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476.75 : 64,137.92 = 27,613.88 : x
  2. Step 2: Convert to fraction form
    46,476.75/64,137.92 = 27,613.88/x
  3. Step 3: Cross multiply
    46,476.75x = 64,137.92 × 27,613.88
  4. Step 4: Simplify right side
    46,476.75x = 1,771,096,367.57
  5. Step 5: Solve for x
    x = 1,771,096,367.57/46,476.75
  6. Step 6: Final answer
    x = 38,107.15

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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.