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Finding the Fourth Proportional to 83,043.14, 114,605.87 and 47,231.01

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Solution

The fourth proportional to 83,043.14, 114,605.87 and 47,231.01 is: 65,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043.14 : 114,605.87 = 47,231.01 : x
  2. Step 2: Convert to fraction form
    83,043.14/114,605.87 = 47,231.01/x
  3. Step 3: Cross multiply
    83,043.14x = 114,605.87 × 47,231.01
  4. Step 4: Simplify right side
    83,043.14x = 5,412,950,992.03
  5. Step 5: Solve for x
    x = 5,412,950,992.03/83,043.14
  6. Step 6: Final answer
    x = 65,182.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.