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Finding the Fourth Proportional to 52,039.44, 71,814.42 and 28,166.31

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Solution

The fourth proportional to 52,039.44, 71,814.42 and 28,166.31 is: 38,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.44 : 71,814.42 = 28,166.31 : x
  2. Step 2: Convert to fraction form
    52,039.44/71,814.42 = 28,166.31/x
  3. Step 3: Cross multiply
    52,039.44x = 71,814.42 × 28,166.31
  4. Step 4: Simplify right side
    52,039.44x = 2,022,747,216.19
  5. Step 5: Solve for x
    x = 2,022,747,216.19/52,039.44
  6. Step 6: Final answer
    x = 38,869.50

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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.