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Finding the Fourth Proportional to 52,195.20, 72,028.06 and 30,974

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Solution

The fourth proportional to 52,195.20, 72,028.06 and 30,974 is: 42,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195.20 : 72,028.06 = 30,974 : x
  2. Step 2: Convert to fraction form
    52,195.20/72,028.06 = 30,974/x
  3. Step 3: Cross multiply
    52,195.20x = 72,028.06 × 30,974
  4. Step 4: Simplify right side
    52,195.20x = 2,230,997,130.44
  5. Step 5: Solve for x
    x = 2,230,997,130.44/52,195.20
  6. Step 6: Final answer
    x = 42,743.34

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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.