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Finding the Fourth Proportional to 49,833, 68,774.40 and 27,477

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Solution

The fourth proportional to 49,833, 68,774.40 and 27,477 is: 37,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,833 : 68,774.40 = 27,477 : x
  2. Step 2: Convert to fraction form
    49,833/68,774.40 = 27,477/x
  3. Step 3: Cross multiply
    49,833x = 68,774.40 × 27,477
  4. Step 4: Simplify right side
    49,833x = 1,889,714,188.80
  5. Step 5: Solve for x
    x = 1,889,714,188.80/49,833
  6. Step 6: Final answer
    x = 37,920.94

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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.