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Finding the Fourth Proportional to 82,867.80, 124,010.10 and 57,790.20

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Solution

The fourth proportional to 82,867.80, 124,010.10 and 57,790.20 is: 86,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,867.80 : 124,010.10 = 57,790.20 : x
  2. Step 2: Convert to fraction form
    82,867.80/124,010.10 = 57,790.20/x
  3. Step 3: Cross multiply
    82,867.80x = 124,010.10 × 57,790.20
  4. Step 4: Simplify right side
    82,867.80x = 7,166,568,481.02
  5. Step 5: Solve for x
    x = 7,166,568,481.02/82,867.80
  6. Step 6: Final answer
    x = 86,481.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.