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Finding the Fourth Proportional to 51,502.44, 77,234.22 and 23,781

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Solution

The fourth proportional to 51,502.44, 77,234.22 and 23,781 is: 35,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502.44 : 77,234.22 = 23,781 : x
  2. Step 2: Convert to fraction form
    51,502.44/77,234.22 = 23,781/x
  3. Step 3: Cross multiply
    51,502.44x = 77,234.22 × 23,781
  4. Step 4: Simplify right side
    51,502.44x = 1,836,706,985.82
  5. Step 5: Solve for x
    x = 1,836,706,985.82/51,502.44
  6. Step 6: Final answer
    x = 35,662.52

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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.