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Finding the Fourth Proportional to 81,114.30, 111,940.92 and 47,122.38

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Solution

The fourth proportional to 81,114.30, 111,940.92 and 47,122.38 is: 65,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,114.30 : 111,940.92 = 47,122.38 : x
  2. Step 2: Convert to fraction form
    81,114.30/111,940.92 = 47,122.38/x
  3. Step 3: Cross multiply
    81,114.30x = 111,940.92 × 47,122.38
  4. Step 4: Simplify right side
    81,114.30x = 5,274,922,569.79
  5. Step 5: Solve for x
    x = 5,274,922,569.79/81,114.30
  6. Step 6: Final answer
    x = 65,030.74

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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.