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Finding the Fourth Proportional to 49,863.60, 74,761.92 and 23,544

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Solution

The fourth proportional to 49,863.60, 74,761.92 and 23,544 is: 35,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863.60 : 74,761.92 = 23,544 : x
  2. Step 2: Convert to fraction form
    49,863.60/74,761.92 = 23,544/x
  3. Step 3: Cross multiply
    49,863.60x = 74,761.92 × 23,544
  4. Step 4: Simplify right side
    49,863.60x = 1,760,194,644.48
  5. Step 5: Solve for x
    x = 1,760,194,644.48/49,863.60
  6. Step 6: Final answer
    x = 35,300.19

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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.