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Finding the Fourth Proportional to 51,586.71, 71,202.31 and 31,454.68

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Solution

The fourth proportional to 51,586.71, 71,202.31 and 31,454.68 is: 43,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586.71 : 71,202.31 = 31,454.68 : x
  2. Step 2: Convert to fraction form
    51,586.71/71,202.31 = 31,454.68/x
  3. Step 3: Cross multiply
    51,586.71x = 71,202.31 × 31,454.68
  4. Step 4: Simplify right side
    51,586.71x = 2,239,645,876.31
  5. Step 5: Solve for x
    x = 2,239,645,876.31/51,586.71
  6. Step 6: Final answer
    x = 43,415.17

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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.