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Finding the Fourth Proportional to 110,712.80, 166,090.80 and 47,532.80

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Solution

The fourth proportional to 110,712.80, 166,090.80 and 47,532.80 is: 71,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,712.80 : 166,090.80 = 47,532.80 : x
  2. Step 2: Convert to fraction form
    110,712.80/166,090.80 = 47,532.80/x
  3. Step 3: Cross multiply
    110,712.80x = 166,090.80 × 47,532.80
  4. Step 4: Simplify right side
    110,712.80x = 7,894,760,778.24
  5. Step 5: Solve for x
    x = 7,894,760,778.24/110,712.80
  6. Step 6: Final answer
    x = 71,308.47

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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.