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Finding the Fourth Proportional to 57,231.36, 78,978.96 and 32,080.32

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Solution

The fourth proportional to 57,231.36, 78,978.96 and 32,080.32 is: 44,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,231.36 : 78,978.96 = 32,080.32 : x
  2. Step 2: Convert to fraction form
    57,231.36/78,978.96 = 32,080.32/x
  3. Step 3: Cross multiply
    57,231.36x = 78,978.96 × 32,080.32
  4. Step 4: Simplify right side
    57,231.36x = 2,533,670,310.07
  5. Step 5: Solve for x
    x = 2,533,670,310.07/57,231.36
  6. Step 6: Final answer
    x = 44,270.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.