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Finding the Fourth Proportional to 110,702.88, 166,050 and 31,816.80

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Solution

The fourth proportional to 110,702.88, 166,050 and 31,816.80 is: 47,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,702.88 : 166,050 = 31,816.80 : x
  2. Step 2: Convert to fraction form
    110,702.88/166,050 = 31,816.80/x
  3. Step 3: Cross multiply
    110,702.88x = 166,050 × 31,816.80
  4. Step 4: Simplify right side
    110,702.88x = 5,283,179,640
  5. Step 5: Solve for x
    x = 5,283,179,640/110,702.88
  6. Step 6: Final answer
    x = 47,723.96

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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.