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Finding the Fourth Proportional to 110,871.74, 166,231.70 and 39,792.80

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Solution

The fourth proportional to 110,871.74, 166,231.70 and 39,792.80 is: 59,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,871.74 : 166,231.70 = 39,792.80 : x
  2. Step 2: Convert to fraction form
    110,871.74/166,231.70 = 39,792.80/x
  3. Step 3: Cross multiply
    110,871.74x = 166,231.70 × 39,792.80
  4. Step 4: Simplify right side
    110,871.74x = 6,614,824,791.76
  5. Step 5: Solve for x
    x = 6,614,824,791.76/110,871.74
  6. Step 6: Final answer
    x = 59,661.96

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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.