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Finding the Fourth Proportional to 81,084.72, 111,923.64 and 47,550

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Solution

The fourth proportional to 81,084.72, 111,923.64 and 47,550 is: 65,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,084.72 : 111,923.64 = 47,550 : x
  2. Step 2: Convert to fraction form
    81,084.72/111,923.64 = 47,550/x
  3. Step 3: Cross multiply
    81,084.72x = 111,923.64 × 47,550
  4. Step 4: Simplify right side
    81,084.72x = 5,321,969,082
  5. Step 5: Solve for x
    x = 5,321,969,082/81,084.72
  6. Step 6: Final answer
    x = 65,634.67

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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.