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Finding the Fourth Proportional to 51,173.44, 76,708.32 and 24,856

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Solution

The fourth proportional to 51,173.44, 76,708.32 and 24,856 is: 37,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173.44 : 76,708.32 = 24,856 : x
  2. Step 2: Convert to fraction form
    51,173.44/76,708.32 = 24,856/x
  3. Step 3: Cross multiply
    51,173.44x = 76,708.32 × 24,856
  4. Step 4: Simplify right side
    51,173.44x = 1,906,662,001.92
  5. Step 5: Solve for x
    x = 1,906,662,001.92/51,173.44
  6. Step 6: Final answer
    x = 37,258.82

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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.