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Finding the Fourth Proportional to 49,613, 68,467.14 and 27,257

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Solution

The fourth proportional to 49,613, 68,467.14 and 27,257 is: 37,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,613 : 68,467.14 = 27,257 : x
  2. Step 2: Convert to fraction form
    49,613/68,467.14 = 27,257/x
  3. Step 3: Cross multiply
    49,613x = 68,467.14 × 27,257
  4. Step 4: Simplify right side
    49,613x = 1,866,208,834.98
  5. Step 5: Solve for x
    x = 1,866,208,834.98/49,613
  6. Step 6: Final answer
    x = 37,615.32

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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.