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Finding the Fourth Proportional to 49,797.78, 74,711.31 and 14,738.35

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Solution

The fourth proportional to 49,797.78, 74,711.31 and 14,738.35 is: 22,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797.78 : 74,711.31 = 14,738.35 : x
  2. Step 2: Convert to fraction form
    49,797.78/74,711.31 = 14,738.35/x
  3. Step 3: Cross multiply
    49,797.78x = 74,711.31 × 14,738.35
  4. Step 4: Simplify right side
    49,797.78x = 1,101,121,362.05
  5. Step 5: Solve for x
    x = 1,101,121,362.05/49,797.78
  6. Step 6: Final answer
    x = 22,111.86

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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.