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Finding the Fourth Proportional to 49,777.38, 68,692.50 and 27,117.72

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Solution

The fourth proportional to 49,777.38, 68,692.50 and 27,117.72 is: 37,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777.38 : 68,692.50 = 27,117.72 : x
  2. Step 2: Convert to fraction form
    49,777.38/68,692.50 = 27,117.72/x
  3. Step 3: Cross multiply
    49,777.38x = 68,692.50 × 27,117.72
  4. Step 4: Simplify right side
    49,777.38x = 1,862,783,981.10
  5. Step 5: Solve for x
    x = 1,862,783,981.10/49,777.38
  6. Step 6: Final answer
    x = 37,422.30

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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.