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Finding the Fourth Proportional to 55,320.30, 82,786.05 and 37,824.30

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Solution

The fourth proportional to 55,320.30, 82,786.05 and 37,824.30 is: 56,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,320.30 : 82,786.05 = 37,824.30 : x
  2. Step 2: Convert to fraction form
    55,320.30/82,786.05 = 37,824.30/x
  3. Step 3: Cross multiply
    55,320.30x = 82,786.05 × 37,824.30
  4. Step 4: Simplify right side
    55,320.30x = 3,131,324,391.02
  5. Step 5: Solve for x
    x = 3,131,324,391.02/55,320.30
  6. Step 6: Final answer
    x = 56,603.53

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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.