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Finding the Fourth Proportional to 57,230.97, 78,978.49 and 32,080.47

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Solution

The fourth proportional to 57,230.97, 78,978.49 and 32,080.47 is: 44,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.97 : 78,978.49 = 32,080.47 : x
  2. Step 2: Convert to fraction form
    57,230.97/78,978.49 = 32,080.47/x
  3. Step 3: Cross multiply
    57,230.97x = 78,978.49 × 32,080.47
  4. Step 4: Simplify right side
    57,230.97x = 2,533,667,079.09
  5. Step 5: Solve for x
    x = 2,533,667,079.09/57,230.97
  6. Step 6: Final answer
    x = 44,270.91

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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.