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Finding the Fourth Proportional to 110,975.40, 166,484.70 and 32,092.20

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Solution

The fourth proportional to 110,975.40, 166,484.70 and 32,092.20 is: 48,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,975.40 : 166,484.70 = 32,092.20 : x
  2. Step 2: Convert to fraction form
    110,975.40/166,484.70 = 32,092.20/x
  3. Step 3: Cross multiply
    110,975.40x = 166,484.70 × 32,092.20
  4. Step 4: Simplify right side
    110,975.40x = 5,342,860,289.34
  5. Step 5: Solve for x
    x = 5,342,860,289.34/110,975.40
  6. Step 6: Final answer
    x = 48,144.55

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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.