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Finding the Fourth Proportional to 48,761.92, 73,142.88 and 17,164.54

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Solution

The fourth proportional to 48,761.92, 73,142.88 and 17,164.54 is: 25,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761.92 : 73,142.88 = 17,164.54 : x
  2. Step 2: Convert to fraction form
    48,761.92/73,142.88 = 17,164.54/x
  3. Step 3: Cross multiply
    48,761.92x = 73,142.88 × 17,164.54
  4. Step 4: Simplify right side
    48,761.92x = 1,255,463,889.48
  5. Step 5: Solve for x
    x = 1,255,463,889.48/48,761.92
  6. Step 6: Final answer
    x = 25,746.81

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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.