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Finding the Fourth Proportional to 52,039.36, 71,813.92 and 28,165.84

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Solution

The fourth proportional to 52,039.36, 71,813.92 and 28,165.84 is: 38,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.36 : 71,813.92 = 28,165.84 : x
  2. Step 2: Convert to fraction form
    52,039.36/71,813.92 = 28,165.84/x
  3. Step 3: Cross multiply
    52,039.36x = 71,813.92 × 28,165.84
  4. Step 4: Simplify right side
    52,039.36x = 2,022,699,380.49
  5. Step 5: Solve for x
    x = 2,022,699,380.49/52,039.36
  6. Step 6: Final answer
    x = 38,868.64

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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.