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Finding the Fourth Proportional to 49,847, 74,746.02 and 16,555.46

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Solution

The fourth proportional to 49,847, 74,746.02 and 16,555.46 is: 24,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,847 : 74,746.02 = 16,555.46 : x
  2. Step 2: Convert to fraction form
    49,847/74,746.02 = 16,555.46/x
  3. Step 3: Cross multiply
    49,847x = 74,746.02 × 16,555.46
  4. Step 4: Simplify right side
    49,847x = 1,237,454,744.27
  5. Step 5: Solve for x
    x = 1,237,454,744.27/49,847
  6. Step 6: Final answer
    x = 24,825.06

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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.