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Finding the Fourth Proportional to 76,108.03, 114,164.10 and 33,978.21

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Solution

The fourth proportional to 76,108.03, 114,164.10 and 33,978.21 is: 50,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108.03 : 114,164.10 = 33,978.21 : x
  2. Step 2: Convert to fraction form
    76,108.03/114,164.10 = 33,978.21/x
  3. Step 3: Cross multiply
    76,108.03x = 114,164.10 × 33,978.21
  4. Step 4: Simplify right side
    76,108.03x = 3,879,091,764.26
  5. Step 5: Solve for x
    x = 3,879,091,764.26/76,108.03
  6. Step 6: Final answer
    x = 50,968.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.