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Finding the Fourth Proportional to 37,822, 56,758.92 and 13,198

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Solution

The fourth proportional to 37,822, 56,758.92 and 13,198 is: 19,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,822 : 56,758.92 = 13,198 : x
  2. Step 2: Convert to fraction form
    37,822/56,758.92 = 13,198/x
  3. Step 3: Cross multiply
    37,822x = 56,758.92 × 13,198
  4. Step 4: Simplify right side
    37,822x = 749,104,226.16
  5. Step 5: Solve for x
    x = 749,104,226.16/37,822
  6. Step 6: Final answer
    x = 19,806.04

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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.