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Finding the Fourth Proportional to 49,777.95, 74,705.81 and 18,622.11

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Solution

The fourth proportional to 49,777.95, 74,705.81 and 18,622.11 is: 27,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777.95 : 74,705.81 = 18,622.11 : x
  2. Step 2: Convert to fraction form
    49,777.95/74,705.81 = 18,622.11/x
  3. Step 3: Cross multiply
    49,777.95x = 74,705.81 × 18,622.11
  4. Step 4: Simplify right side
    49,777.95x = 1,391,179,718.35
  5. Step 5: Solve for x
    x = 1,391,179,718.35/49,777.95
  6. Step 6: Final answer
    x = 27,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.