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Finding the Fourth Proportional to 52,096.88, 78,174.48 and 20,954

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Solution

The fourth proportional to 52,096.88, 78,174.48 and 20,954 is: 31,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.88 : 78,174.48 = 20,954 : x
  2. Step 2: Convert to fraction form
    52,096.88/78,174.48 = 20,954/x
  3. Step 3: Cross multiply
    52,096.88x = 78,174.48 × 20,954
  4. Step 4: Simplify right side
    52,096.88x = 1,638,068,053.92
  5. Step 5: Solve for x
    x = 1,638,068,053.92/52,096.88
  6. Step 6: Final answer
    x = 31,442.73

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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.