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Finding the Fourth Proportional to 82,486.28, 113,830.44 and 44,760.80

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Solution

The fourth proportional to 82,486.28, 113,830.44 and 44,760.80 is: 61,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.28 : 113,830.44 = 44,760.80 : x
  2. Step 2: Convert to fraction form
    82,486.28/113,830.44 = 44,760.80/x
  3. Step 3: Cross multiply
    82,486.28x = 113,830.44 × 44,760.80
  4. Step 4: Simplify right side
    82,486.28x = 5,095,141,558.75
  5. Step 5: Solve for x
    x = 5,095,141,558.75/82,486.28
  6. Step 6: Final answer
    x = 61,769.56

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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.