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Finding the Fourth Proportional to 49,618, 68,472.84 and 27,262

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Solution

The fourth proportional to 49,618, 68,472.84 and 27,262 is: 37,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,618 : 68,472.84 = 27,262 : x
  2. Step 2: Convert to fraction form
    49,618/68,472.84 = 27,262/x
  3. Step 3: Cross multiply
    49,618x = 68,472.84 × 27,262
  4. Step 4: Simplify right side
    49,618x = 1,866,706,564.08
  5. Step 5: Solve for x
    x = 1,866,706,564.08/49,618
  6. Step 6: Final answer
    x = 37,621.56

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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.