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Finding the Fourth Proportional to 36,871.82, 55,307.92 and 9,169.82

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Solution

The fourth proportional to 36,871.82, 55,307.92 and 9,169.82 is: 13,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,871.82 : 55,307.92 = 9,169.82 : x
  2. Step 2: Convert to fraction form
    36,871.82/55,307.92 = 9,169.82/x
  3. Step 3: Cross multiply
    36,871.82x = 55,307.92 × 9,169.82
  4. Step 4: Simplify right side
    36,871.82x = 507,163,670.97
  5. Step 5: Solve for x
    x = 507,163,670.97/36,871.82
  6. Step 6: Final answer
    x = 13,754.78

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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.