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Finding the Fourth Proportional to 51,961.73, 77,892.48 and 23,901

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Solution

The fourth proportional to 51,961.73, 77,892.48 and 23,901 is: 35,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961.73 : 77,892.48 = 23,901 : x
  2. Step 2: Convert to fraction form
    51,961.73/77,892.48 = 23,901/x
  3. Step 3: Cross multiply
    51,961.73x = 77,892.48 × 23,901
  4. Step 4: Simplify right side
    51,961.73x = 1,861,708,044.98
  5. Step 5: Solve for x
    x = 1,861,708,044.98/51,961.73
  6. Step 6: Final answer
    x = 35,828.45

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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.