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Finding the Fourth Proportional to 55,752.90, 83,493 and 50,355.42

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Solution

The fourth proportional to 55,752.90, 83,493 and 50,355.42 is: 75,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,752.90 : 83,493 = 50,355.42 : x
  2. Step 2: Convert to fraction form
    55,752.90/83,493 = 50,355.42/x
  3. Step 3: Cross multiply
    55,752.90x = 83,493 × 50,355.42
  4. Step 4: Simplify right side
    55,752.90x = 4,204,325,082.06
  5. Step 5: Solve for x
    x = 4,204,325,082.06/55,752.90
  6. Step 6: Final answer
    x = 75,409.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.