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Finding the Fourth Proportional to 82,653.74, 123,992.29 and 26,480.71

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Solution

The fourth proportional to 82,653.74, 123,992.29 and 26,480.71 is: 39,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,653.74 : 123,992.29 = 26,480.71 : x
  2. Step 2: Convert to fraction form
    82,653.74/123,992.29 = 26,480.71/x
  3. Step 3: Cross multiply
    82,653.74x = 123,992.29 × 26,480.71
  4. Step 4: Simplify right side
    82,653.74x = 3,283,403,730.03
  5. Step 5: Solve for x
    x = 3,283,403,730.03/82,653.74
  6. Step 6: Final answer
    x = 39,724.81

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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.