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Finding the Fourth Proportional to 55,647.90, 83,472 and 16,205.98

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Solution

The fourth proportional to 55,647.90, 83,472 and 16,205.98 is: 24,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,647.90 : 83,472 = 16,205.98 : x
  2. Step 2: Convert to fraction form
    55,647.90/83,472 = 16,205.98/x
  3. Step 3: Cross multiply
    55,647.90x = 83,472 × 16,205.98
  4. Step 4: Simplify right side
    55,647.90x = 1,352,745,562.56
  5. Step 5: Solve for x
    x = 1,352,745,562.56/55,647.90
  6. Step 6: Final answer
    x = 24,309.01

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Why These Related Problems?

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