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Finding the Fourth Proportional to 54,986.65, 82,892.02 and 51,324.77

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Solution

The fourth proportional to 54,986.65, 82,892.02 and 51,324.77 is: 77,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,986.65 : 82,892.02 = 51,324.77 : x
  2. Step 2: Convert to fraction form
    54,986.65/82,892.02 = 51,324.77/x
  3. Step 3: Cross multiply
    54,986.65x = 82,892.02 × 51,324.77
  4. Step 4: Simplify right side
    54,986.65x = 4,254,413,604.71
  5. Step 5: Solve for x
    x = 4,254,413,604.71/54,986.65
  6. Step 6: Final answer
    x = 77,371.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.