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Finding the Fourth Proportional to 51,448, 71,007.34 and 30,227.26

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Solution

The fourth proportional to 51,448, 71,007.34 and 30,227.26 is: 41,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448 : 71,007.34 = 30,227.26 : x
  2. Step 2: Convert to fraction form
    51,448/71,007.34 = 30,227.26/x
  3. Step 3: Cross multiply
    51,448x = 71,007.34 × 30,227.26
  4. Step 4: Simplify right side
    51,448x = 2,146,357,328.09
  5. Step 5: Solve for x
    x = 2,146,357,328.09/51,448
  6. Step 6: Final answer
    x = 41,718.97

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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.