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Finding the Fourth Proportional to 52,208.77, 72,015.33 and 30,973

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Solution

The fourth proportional to 52,208.77, 72,015.33 and 30,973 is: 42,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,208.77 : 72,015.33 = 30,973 : x
  2. Step 2: Convert to fraction form
    52,208.77/72,015.33 = 30,973/x
  3. Step 3: Cross multiply
    52,208.77x = 72,015.33 × 30,973
  4. Step 4: Simplify right side
    52,208.77x = 2,230,530,816.09
  5. Step 5: Solve for x
    x = 2,230,530,816.09/52,208.77
  6. Step 6: Final answer
    x = 42,723.30

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