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Finding the Fourth Proportional to 81,052.65, 111,876.41 and 47,076.41

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Solution

The fourth proportional to 81,052.65, 111,876.41 and 47,076.41 is: 64,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,052.65 : 111,876.41 = 47,076.41 : x
  2. Step 2: Convert to fraction form
    81,052.65/111,876.41 = 47,076.41/x
  3. Step 3: Cross multiply
    81,052.65x = 111,876.41 × 47,076.41
  4. Step 4: Simplify right side
    81,052.65x = 5,266,739,923.02
  5. Step 5: Solve for x
    x = 5,266,739,923.02/81,052.65
  6. Step 6: Final answer
    x = 64,979.24

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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.