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Finding the Fourth Proportional to 52,198.30, 72,032.22 and 28,913.92

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Solution

The fourth proportional to 52,198.30, 72,032.22 and 28,913.92 is: 39,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,198.30 : 72,032.22 = 28,913.92 : x
  2. Step 2: Convert to fraction form
    52,198.30/72,032.22 = 28,913.92/x
  3. Step 3: Cross multiply
    52,198.30x = 72,032.22 × 28,913.92
  4. Step 4: Simplify right side
    52,198.30x = 2,082,733,846.50
  5. Step 5: Solve for x
    x = 2,082,733,846.50/52,198.30
  6. Step 6: Final answer
    x = 39,900.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.