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Finding the Fourth Proportional to 52,092, 78,141.87 and 20,927.34

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Solution

The fourth proportional to 52,092, 78,141.87 and 20,927.34 is: 31,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092 : 78,141.87 = 20,927.34 : x
  2. Step 2: Convert to fraction form
    52,092/78,141.87 = 20,927.34/x
  3. Step 3: Cross multiply
    52,092x = 78,141.87 × 20,927.34
  4. Step 4: Simplify right side
    52,092x = 1,635,301,481.73
  5. Step 5: Solve for x
    x = 1,635,301,481.73/52,092
  6. Step 6: Final answer
    x = 31,392.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.