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Finding the Fourth Proportional to 32,271.68, 44,424.38 and 27,997.61

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Solution

The fourth proportional to 32,271.68, 44,424.38 and 27,997.61 is: 38,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271.68 : 44,424.38 = 27,997.61 : x
  2. Step 2: Convert to fraction form
    32,271.68/44,424.38 = 27,997.61/x
  3. Step 3: Cross multiply
    32,271.68x = 44,424.38 × 27,997.61
  4. Step 4: Simplify right side
    32,271.68x = 1,243,776,313.60
  5. Step 5: Solve for x
    x = 1,243,776,313.60/32,271.68
  6. Step 6: Final answer
    x = 38,540.80

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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.