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Finding the Fourth Proportional to 82,014, 113,179.71 and 46,204.57

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Solution

The fourth proportional to 82,014, 113,179.71 and 46,204.57 is: 63,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014 : 113,179.71 = 46,204.57 : x
  2. Step 2: Convert to fraction form
    82,014/113,179.71 = 46,204.57/x
  3. Step 3: Cross multiply
    82,014x = 113,179.71 × 46,204.57
  4. Step 4: Simplify right side
    82,014x = 5,229,419,833.27
  5. Step 5: Solve for x
    x = 5,229,419,833.27/82,014
  6. Step 6: Final answer
    x = 63,762.53

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