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Finding the Fourth Proportional to 49,792, 68,714.40 and 27,437.44

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Solution

The fourth proportional to 49,792, 68,714.40 and 27,437.44 is: 37,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,792 : 68,714.40 = 27,437.44 : x
  2. Step 2: Convert to fraction form
    49,792/68,714.40 = 27,437.44/x
  3. Step 3: Cross multiply
    49,792x = 68,714.40 × 27,437.44
  4. Step 4: Simplify right side
    49,792x = 1,885,347,227.14
  5. Step 5: Solve for x
    x = 1,885,347,227.14/49,792
  6. Step 6: Final answer
    x = 37,864.46

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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.