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Finding the Fourth Proportional to 55,651.54, 83,491 and 16,209.02

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Solution

The fourth proportional to 55,651.54, 83,491 and 16,209.02 is: 24,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,651.54 : 83,491 = 16,209.02 : x
  2. Step 2: Convert to fraction form
    55,651.54/83,491 = 16,209.02/x
  3. Step 3: Cross multiply
    55,651.54x = 83,491 × 16,209.02
  4. Step 4: Simplify right side
    55,651.54x = 1,353,307,288.82
  5. Step 5: Solve for x
    x = 1,353,307,288.82/55,651.54
  6. Step 6: Final answer
    x = 24,317.52

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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.