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Finding the Fourth Proportional to 110,978.40, 166,489.20 and 32,095.20

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Solution

The fourth proportional to 110,978.40, 166,489.20 and 32,095.20 is: 48,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.40 : 166,489.20 = 32,095.20 : x
  2. Step 2: Convert to fraction form
    110,978.40/166,489.20 = 32,095.20/x
  3. Step 3: Cross multiply
    110,978.40x = 166,489.20 × 32,095.20
  4. Step 4: Simplify right side
    110,978.40x = 5,343,504,171.84
  5. Step 5: Solve for x
    x = 5,343,504,171.84/110,978.40
  6. Step 6: Final answer
    x = 48,149.05

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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.