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Finding the Fourth Proportional to 37,817, 56,751.42 and 13,193

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Solution

The fourth proportional to 37,817, 56,751.42 and 13,193 is: 19,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,817 : 56,751.42 = 13,193 : x
  2. Step 2: Convert to fraction form
    37,817/56,751.42 = 13,193/x
  3. Step 3: Cross multiply
    37,817x = 56,751.42 × 13,193
  4. Step 4: Simplify right side
    37,817x = 748,721,484.06
  5. Step 5: Solve for x
    x = 748,721,484.06/37,817
  6. Step 6: Final answer
    x = 19,798.54

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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.