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Finding the Fourth Proportional to 52,369.01, 78,535.90 and 16,821.61

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Solution

The fourth proportional to 52,369.01, 78,535.90 and 16,821.61 is: 25,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,369.01 : 78,535.90 = 16,821.61 : x
  2. Step 2: Convert to fraction form
    52,369.01/78,535.90 = 16,821.61/x
  3. Step 3: Cross multiply
    52,369.01x = 78,535.90 × 16,821.61
  4. Step 4: Simplify right side
    52,369.01x = 1,321,100,280.80
  5. Step 5: Solve for x
    x = 1,321,100,280.80/52,369.01
  6. Step 6: Final answer
    x = 25,226.76

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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.