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Finding the Fourth Proportional to 37,816, 56,749.92 and 13,192

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Solution

The fourth proportional to 37,816, 56,749.92 and 13,192 is: 19,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,816 : 56,749.92 = 13,192 : x
  2. Step 2: Convert to fraction form
    37,816/56,749.92 = 13,192/x
  3. Step 3: Cross multiply
    37,816x = 56,749.92 × 13,192
  4. Step 4: Simplify right side
    37,816x = 748,644,944.64
  5. Step 5: Solve for x
    x = 748,644,944.64/37,816
  6. Step 6: Final answer
    x = 19,797.04

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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.