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Finding the Fourth Proportional to 52,092.69, 71,887.74 and 28,219.34

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Solution

The fourth proportional to 52,092.69, 71,887.74 and 28,219.34 is: 38,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.69 : 71,887.74 = 28,219.34 : x
  2. Step 2: Convert to fraction form
    52,092.69/71,887.74 = 28,219.34/x
  3. Step 3: Cross multiply
    52,092.69x = 71,887.74 × 28,219.34
  4. Step 4: Simplify right side
    52,092.69x = 2,028,624,539.94
  5. Step 5: Solve for x
    x = 2,028,624,539.94/52,092.69
  6. Step 6: Final answer
    x = 38,942.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.