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Finding the Fourth Proportional to 83,605.73, 115,471.73 and 55,053.02

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Solution

The fourth proportional to 83,605.73, 115,471.73 and 55,053.02 is: 76,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,605.73 : 115,471.73 = 55,053.02 : x
  2. Step 2: Convert to fraction form
    83,605.73/115,471.73 = 55,053.02/x
  3. Step 3: Cross multiply
    83,605.73x = 115,471.73 × 55,053.02
  4. Step 4: Simplify right side
    83,605.73x = 6,357,067,185.86
  5. Step 5: Solve for x
    x = 6,357,067,185.86/83,605.73
  6. Step 6: Final answer
    x = 76,036.27

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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.