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Finding the Fourth Proportional to 81,106.79, 111,919.67 and 47,114.34

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Solution

The fourth proportional to 81,106.79, 111,919.67 and 47,114.34 is: 65,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,106.79 : 111,919.67 = 47,114.34 : x
  2. Step 2: Convert to fraction form
    81,106.79/111,919.67 = 47,114.34/x
  3. Step 3: Cross multiply
    81,106.79x = 111,919.67 × 47,114.34
  4. Step 4: Simplify right side
    81,106.79x = 5,273,021,149.50
  5. Step 5: Solve for x
    x = 5,273,021,149.50/81,106.79
  6. Step 6: Final answer
    x = 65,013.32

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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.