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Finding the Fourth Proportional to 110,783.70, 166,136.67 and 31,876.74

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Solution

The fourth proportional to 110,783.70, 166,136.67 and 31,876.74 is: 47,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,783.70 : 166,136.67 = 31,876.74 : x
  2. Step 2: Convert to fraction form
    110,783.70/166,136.67 = 31,876.74/x
  3. Step 3: Cross multiply
    110,783.70x = 166,136.67 × 31,876.74
  4. Step 4: Simplify right side
    110,783.70x = 5,295,895,434.06
  5. Step 5: Solve for x
    x = 5,295,895,434.06/110,783.70
  6. Step 6: Final answer
    x = 47,803.92

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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.