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Finding the Fourth Proportional to 49,718, 68,611.92 and 27,362

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Solution

The fourth proportional to 49,718, 68,611.92 and 27,362 is: 37,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,718 : 68,611.92 = 27,362 : x
  2. Step 2: Convert to fraction form
    49,718/68,611.92 = 27,362/x
  3. Step 3: Cross multiply
    49,718x = 68,611.92 × 27,362
  4. Step 4: Simplify right side
    49,718x = 1,877,359,355.04
  5. Step 5: Solve for x
    x = 1,877,359,355.04/49,718
  6. Step 6: Final answer
    x = 37,760.15

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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.