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Finding the Fourth Proportional to 82,591.14, 114,010.66 and 55,769.98

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Solution

The fourth proportional to 82,591.14, 114,010.66 and 55,769.98 is: 76,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591.14 : 114,010.66 = 55,769.98 : x
  2. Step 2: Convert to fraction form
    82,591.14/114,010.66 = 55,769.98/x
  3. Step 3: Cross multiply
    82,591.14x = 114,010.66 × 55,769.98
  4. Step 4: Simplify right side
    82,591.14x = 6,358,372,227.99
  5. Step 5: Solve for x
    x = 6,358,372,227.99/82,591.14
  6. Step 6: Final answer
    x = 76,986.13

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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.