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Finding the Fourth Proportional to 82,912.41, 114,419.52 and 47,104.39

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Solution

The fourth proportional to 82,912.41, 114,419.52 and 47,104.39 is: 65,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.41 : 114,419.52 = 47,104.39 : x
  2. Step 2: Convert to fraction form
    82,912.41/114,419.52 = 47,104.39/x
  3. Step 3: Cross multiply
    82,912.41x = 114,419.52 × 47,104.39
  4. Step 4: Simplify right side
    82,912.41x = 5,389,661,193.11
  5. Step 5: Solve for x
    x = 5,389,661,193.11/82,912.41
  6. Step 6: Final answer
    x = 65,004.28

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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.