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Finding the Fourth Proportional to 82,978.22, 114,505.44 and 47,163.26

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Solution

The fourth proportional to 82,978.22, 114,505.44 and 47,163.26 is: 65,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,978.22 : 114,505.44 = 47,163.26 : x
  2. Step 2: Convert to fraction form
    82,978.22/114,505.44 = 47,163.26/x
  3. Step 3: Cross multiply
    82,978.22x = 114,505.44 × 47,163.26
  4. Step 4: Simplify right side
    82,978.22x = 5,400,449,838.13
  5. Step 5: Solve for x
    x = 5,400,449,838.13/82,978.22
  6. Step 6: Final answer
    x = 65,082.74

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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.