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Finding the Fourth Proportional to 49,855, 68,804.76 and 27,499

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Solution

The fourth proportional to 49,855, 68,804.76 and 27,499 is: 37,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855 : 68,804.76 = 27,499 : x
  2. Step 2: Convert to fraction form
    49,855/68,804.76 = 27,499/x
  3. Step 3: Cross multiply
    49,855x = 68,804.76 × 27,499
  4. Step 4: Simplify right side
    49,855x = 1,892,062,095.24
  5. Step 5: Solve for x
    x = 1,892,062,095.24/49,855
  6. Step 6: Final answer
    x = 37,951.30

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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.